Multiplying polynomial by polynomial

Multiplying polynomial by polynomial

When multiplying polynomials, we need to distribute each term in the first polynomial to every term in the second polynomial. Then, we combine any like terms.
Basic concepts: Combining the exponent rules, Multiplying monomial by monomial, Multiplying monomial by binomial, Multiplying binomial by binomial,
Related concepts: Exponents: Product rule (ax)(ay)=a(x+y) (a^x)(a^y)=a^{(x+y)}, Exponents: Power rule (ax)y=a(x⋅y) (a^x)^y = a^{(x\cdot y)}, Exponents: Negative exponents,

Lessons

  • 1.
    Multiplying a polynomial by a polynomial
    a)
    (2a+b)(2a2−5ab+4b2){(2a+b)(2a^2-5ab+4b^2)}

    b)
    (x−y+3)(x2+3y3−2){(x-y+3)(x^2+3y^3-2)}

    c)
    (3x−4y)3{(3x-4y)^3}

    d)
    (a−b)4{(a-b)^4}

    e)
    6(5x−3y)(2x+7){6(5x-3y)(2x+7)}

    f)
    −4(x+3y)(2x−5y){-4(x+3y)(2x-5y)}

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5.
Algebraic Expressions
5.1
Equivalent algebraic expressions
5.2
Adding and subtracting algebraic expressions
5.3
Multiplying monomial by monomial
5.4
Multiplying monomial by binomial
5.5
Multiplying binomial by binomial
5.6
Multiplying polynomial by polynomial
5.7
Applications of polynomials
GCE O-Level A Maths
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