Find the difference of squares: (a−b)(a+b)=(a2−b2)(a - b)(a + b) = (a^2 - b^2)

Find the difference of squares: (a−b)(a+b)=(a2−b2)(a - b)(a + b) = (a^2 - b^2)

The word "difference" in the difference of squares essentially means "subtract". However, solving this type of question is not subtracting the squared terms. It involves factoring and multiplying conjugates, which you will learn it all in this lesson.
Basic Concepts: Multiplying binomial by binomial, Factoring perfect square trinomials: (a+b)2=a2+2ab+b2(a + b)^2 = a^2 + 2ab + b^2 or (a−b)2=a2−2ab+b2(a - b)^2 = a^2 - 2ab + b^2
Related Concepts: Factor by taking out the greatest common factor, Factor by grouping, Factoring difference of squares: x2−y2x^2 - y^2, Factoring trinomials

Lessons

  • 1.
    Find the difference of squares
    a)
    (3x+4y)(3x−4y)(3x + 4y)(3x - 4y)

    b)
    (−x2−3y2)(−x2+3y2)(-x^2-3y^2)(-x^2+3y^2)

    c)
    x2−25x^2 - 25

    d)
    16−25x416 - 25x^4

    e)
    16x2y8−416x^2y^8 - 4

    f)
    x2n−25x^{2n} - 25

    g)
    x8−1x^8 - 1

    h)
    (x2+6x+9)−4y2(x^2 + 6x + 9) - 4y^2

Do better in math today
Get Started Now
13.
Factoring
13.1
Common factors of polynomials
13.2
Factor by taking out the greatest common factor
13.3
Factoring polynomials: ax2+bx+cax^2 + bx + c
13.4
Find the difference of squares: (a−b)(a+b)=(a2−b2)(a - b)(a + b) = (a^2 - b^2)
13.5
Factoring difference of squares: x2−y2x^2 - y^2
13.6
Introduction to quadratic functions
13.7
Factoring polynomials by grouping
13.8
Factoring polynomials: x2+bx+cx^2 + bx + c
13.9
Evaluating polynomials
13.10
Word problems of polynomials
CLEP College Algebra
Don't just watch, practice makes perfect