Use FOIL to solve the problem (3x-2)(2x-3) first ?

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Use FOIL to solve the problem (3x-2)(2x-3) first ?

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Answer 1 · 2018-02-09T15:01:34

$6 x^{2} - 13 x + 6$ $6x^2-13x+6$ is the final answer :)

Explanation:

There's a shortcut you can use here, known as the " FOIL " method (that stands for F irst, O uter, I nner, L ast.). The product of two binomials is the sum of four simpler products.

The word FOIL is an acronym for the four terms of the product.

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Firsts: $" "$ $3 x \times 2 x = 6 x^{2}$ $3x\times 2x=6x^2$
Outsides: $" "$ $3 x \times - 3 = - 9 x$ $3x\times -3=-9x$
Insides: $" "$ $- 2 \times 2 x = - 4 x$ $-2\times 2x=-4x$
Lasts: $" "$ $- 2 \times - 3 = 6$ $-2\times -3=6$

Add all these up, and you'll get the answer:

$= 6 x^{2} + (- 9 x) + (- 4 x) + 6$ $=6x^2+(-9x)+(-4x)+6$

$= 6 x^{2} - 9 x - 4 x + 6$ $=6x^2-9x-4x+6$

$= 6 x^{2} - 13 x + 6$ $=6x^2-13x+6$

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Use FOIL to solve the problem (3x-2)(2x-3) first ?

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