Objective Multiply two binomials..

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Presentation transcript:

Objective Multiply two binomials.

Group factors with like bases together. (4x3)(6x7) Check It Out! Example 1 Multiply. a. (4x3)(6x7) Group factors with like bases together. (4x3)(6x7) (4 6)(x3 x7)  Multiply. 24x10 b. (3rt4)(5t3) Group factors with like bases together. (3rt4)(5t3) (3 5)(r)(t4 t3)  Multiply. 15rt7

Check It Out! Example 2 Multiply. b. 2ab(5a5 + b) 3ab(5a2 + b) Distribute 3ab. (3ab)(5a2) + (3ab)(b) Group like bases together. (3  5)(a  a2)(b) + (3)(a)(b  b) 15a3b + 3ab2 Multiply.

To multiply a binomial by a binomial, you can apply the Distributive Property more than once: (x + 3)(x + 2) = x(x + 2) + 3(x + 2) Distribute x and 3. Distribute x and 3 again. = x(x + 2) + 3(x + 2) = x(x) + x(2) + 3(x) + 3(2) Multiply. = x2 + 2x + 3x + 6 Combine like terms. = x2 + 5x + 6

Example 3A: Multiplying Binomials (s + 4)(s – 2) (s + 4)(s – 2) s(s – 2) + 4(s – 2) Distribute s and 4. s(s) + s(–2) + 4(s) + 4(–2) Distribute s and 4 again. s2 – 2s + 4s – 8 Multiply. s2 + 2s – 8 Combine like terms.

Example 3C: Multiplying Binomials (8m2 – n)(m2 – 3n) Use the FOIL method. 8m2(m2) + 8m2(–3n) – n(m2) – n(–3n) 8m4 – 24m2n – m2n + 3n2 Multiply. 8m4 – 25m2n + 3n2 Combine like terms.

Check It Out! Example 3c Multiply. (2a – b2)(a3 + 4b2) (2a – b2)(a3 + 4b2) Use the FOIL method. 2a(a3) + 2a(4b2) – b2(a3) + (–b2)(4b2) 2a4 + 8ab2 – a3b2 – 4b4 Multiply.