How do you expand and simplify $(3x+4)(2x-2)$ ?

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Answer 1 · 2017-01-07T14:52:39

You cross multiply the terms within parenthesis and the group and combine like terms to simplify. See full process in the Explanation

First we cross multiply each term in the parenthesis on the left by each term in parenthesis on the left:

$(color(red)(3x) + color(red)(4))(color(blue)(2x) - color(blue)(2))$

$(color(red)(3x) xx color(blue)(2x)) - (color(red)(3x) xx color(blue)(2)) + (color(red)(4) xx color(blue)(2x)) - (color(red)(4) xx color(blue)(2))$

$6x^2 - 6x + 8x - 8$

We can now combine like terms to complete the simplification:

$6x^2 + (-6 + 8)x - 8$

$6x^2 + 2x - 8$

How do you expand and simplify (3x+4)(2x-2)(3x+4)(2x-2)?