expand a product of binomials?

(w+2) (w-3)

(3x-5) (2x+3)

I have no idea how to do this...help!

2 Answers

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  • 9 years ago

    Multiply everything in one set of brackets by everything in the other set.

    You do this using FOIL First, Outside, Inside, Last

    I'll do it step by step and hope it's clear

    (w+2) (w-3)

    w*w + w*-3 + 2*w + 2*-3

    w^2 - 3w + 2w - 6

    w^2 - w - 6

    (3x-5) (2x+3)

    3x*2x + 3x*3 - 5*2x - 5*3

    6x^2 + 9x - 10x - 15

    6x^2 - x - 15

  • 9 years ago

    It's like the distributive property: Multiply each term in the first binomial by each term in the second. Then combine like terms.

    w² - 3w + 2w - 6 = w² - w - 6

    6x² + 9x - 10x - 15 = 6x² - x - 15

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