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Master Polynomial Subtraction: Easy Steps and Examples

Grade 9 Math: Master Core Concepts & Problem Solving

Operations with rational numbers

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Comparing and ordering rational numbers

Comparing decimal numbers

Comparing fractions

Solving problems with rational numbers in decimal form

Mixed Operations with Decimals

Mixed Operations

Mixed Operations with Decimals Bracket

Mixed Operations with Bracket Square

Solving problems with rational numbers in fraction form

Operations with fractions

Adding and subtracting decimals

Subtracting Decimals — Data Table

Ordering Decimals — Data Table

Decimals – Word Problem

Adding Decimals

Subtracting Decimals

Multiplying decimals

Multiplying Decimals

Dividing decimals

Dividing Decimals

Order of operations (PEMDAS)

Identify the Order of Operations

Order of Operations — Word Problem

Divisibility rules

Divisibility

Determining common factors

Common Factors — Word problem: bouquet

Common Factors — Word problem: party

Common Factors

Factors

Determining common multiples

Common Multiples — Word problem: meals

Common Multiples — Word problem: watches

Multiples

Lowest Common Multiple - 2 Numbers – Word Problem

Lowest Common Multiple 2 Numbers

Introduction to exponents

Expanded powers

Exponents — Express as a power of 10

Exponents — Word problem: express as a power

Exponents — Express as a power of two — Whole number

Place value

Comparing and ordering numbers

Comparing Integers

Comparing Numbers

Comparing Fractions

Rounding numbers

Rounding Decimals

Rounding Integers — Up to 9999

Exponents and exponent laws with whole-number exponents

Using exponents to describe numbers

Exponent rules

Single Power Expressions

Dividing powers

Multiplying powers

Order of operations with exponents

Using exponents to solve problems

Operations with polynomials of degree less than or equal to 2

Characteristics of polynomials

What are polynomials

Equivalent expressions of polynomials

Adding and subtracting polynomials

Multiplying and dividing monomials

Divide a monomial by a monomial

Multiply a monomial by a monomial

Multiplying polynomials by monomials

Multiply a polynomial by a monomial

Dividing polynomials by monomials

Two-variable linear relations using graphing, interpolation, and extrapolation

Representing patterns in linear relations

Represent Patterns in Linear Relations Equation Decimal

Represent Patterns in Linear Relations Equation Integer Start From 0

Represent Patterns in Linear Relations Equation Integer Start From 1

Represent Patterns in Linear Relations Equation Negative Decimal

Identify the Linear Equation

Reading linear relation graphs

Solving linear equations by graphing

Understanding graphs of linear relationships

Linear relations

Understanding tables of values of linear relationships

Linear relation

Applications of linear relationships

Multi-step one-variable linear equations

Solving linear equations using multiplication and division

Two-step Linear Equations LHS

Two-step Linear Equations RHS

Solving two-step linear equations: ax + b = c, x/a + b = c

Solving linear equations using distributive property: a(x + b) = c

Solving linear equations with variables on both sides

Solving literal equations

Spatial proportional reasoning

Enlargements and reductions with scale factors

Scale diagrams

Similar triangles

Similar polygons

Statistics in society

Frequency tables and dot plots

Analyze the Frequency Table

Influencing factors in data collection

Data collection

Probability

Advantages and disadvantages of different graphs

Reading and drawing bar graphs

read and draw bar graphs

Reading Bar Graphs

Reading and drawing histograms

Reading and drawing line graphs

Reading Line Graphs

Box-and-whisker plots and scatter plots

Reading and drawing Venn diagrams

Stem and leaf plots

The Leaf and Stem of Numbers

Recognizing the Leaf and Stem of Numbers

Recognizing The Leaf And Stem of Numbers Leaf

Recognizing The Leaf And Stem of Numbers Stem

Reading Stem and Leaf Plots — Median

Reading Stem and Leaf Plots — Range

stem and leaf plots Range

Reading Stem and Leaf Plots

Reading Stem and Leaf Plots — Mean

Reading Stem and Leaf Plots — Mode

Financial literacy - simple budgets and transactions

Simple interest

Simple Interest — Word Problem

Basic Concepts of Simple Interest – Word Problem

Borrowing Money for More Than One Year  – Word Problem

Investigate the Advantages of Borrowing Money  – Word Problem

We&apos;ve got you covered with our complete help for Grade 9 math, whether it&apos;s for <a href="http://www.eqao.com/en/assessments/grade-9-math">EQAO</a> (Ontario), grade 9 math <a href="https://education.alberta.ca/provincial-achievement-tests/about-the-pats/">PAT</a> (Alberta), grade 9 math <a href="http://www.ed.gov.nl.ca/edu/k12/evaluation/crts/intermediate/">Provincial Assessment</a> (Newfoundland) or <a href="http://www.gov.pe.ca/eecd/index.php3?number=1027081&lang=E">IMA</a> (PEI).

Aligned with your class or textbook, you will get grade 9 math help on topics like Circle geometry, Linear equations, Dividing polynomials, Exponents, Surface area, Rational numbers, and so many more. Learn the concepts with our video tutorials that show you step-by-step solutions to even the hardest grade 9 math questions. Then, strengthen your understanding with tons of grade 9 math practice. 

All our lessons are taught by experienced Grade 9 math teachers. Let&apos;s finish your homework in no time, and ACE that final.

Grade 9

math

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Intro

- Hi, welcome to this question right here. So, we're trying to subtract these polynomials right here. So, again, you have to check what's in the bracket first. There's nothing you can do across here. There's nothing you can do inside this bracket here as well. So, you have to go to the next step which is the exponents. There's no exponents, then you go to the next step. Now, the first one right here, there's nothing you can do with the outside anyway. Because there's a one right here, typically. But nothing happens. So, since there's nothing you can do about it, you're just gonna copy down the very first bracket down. Now, that means you have to drop the brackets because there's nothing that we're gonna to do, right? The next part is. . . This is a tricky question. It's a minus sign. So, you're subtracting it out of the bracket. I'm gonna just tell you the shortcut. The shortcut is, if you have a subtraction, of the bracket behind it, what you do is you reverse all the signs. Or flip your signs, meaning that find the opposite signs of that expression here. So, the 3x square right here that I'm looking at right now is positive. Guess what happens to it, it comes negative. That's a negative x right there, becomes positive. That's a negative eight, becomes positive eight, okay? 
So, that's it. And that's the end of your question. Actually, if you can collect the like terms, that will be great. Negative two, negative three, because these guys are like terms, right? So, when you get a negative two and a negative three, you just slide them together, you get yourself a negative 5x square, okay? 
Okay, here we go. Now, what's the next like that you see. I see an x and an x, okay? So, that's a negative six and that's a plus one, negative six plus one, put them together, you get yourself a negative 5x right here. The very last one is a three plus an eight, so, eight plus three, you get yourself an 11, okay? And this is your final answer for this question. Thanks for watching.

Adding polynomials is basically combining the like terms together. Like terms are the terms with the same variables and <a href='[[glossary.html|{"keyword":"Degree of a Polynomial","term":"Degree of a Polynomial"}]]'>degree</a>. Subtracting polynomials is very similar to that, but you will need to reverse the sign of each term to get rid of the like terms.

Adding and subtracting algebraic expressions

Understanding integer division