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# 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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- Old BookwormLv 79 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

- hayharbrLv 79 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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