How do you foil (-4x+5)(-2x-3)(4x+5)(2x3)?

2 Answers
Jun 27, 2018

=8x^2+2x-15=8x2+2x15

Explanation:

=(-4x xx-2x)+(-4x xx-3)+(5xx-2x)+(5xx-3)=(4x×2x)+(4x×3)+(5×2x)+(5×3)
=8x^2+12x-10x-15=8x2+12x10x15
=8x^2+2x-15=8x2+2x15

Jun 27, 2018

8x^2 + 2x - 158x2+2x15

Explanation:

Here is a helpful image for FOIL:

![https://studyfaq.com/blog/foil-calculator](useruploads.socratic.org)

(−4x+5)(−2x−3)(4x+5)(2x3)

FIRSTS:
-4x xx -2x4x×2x rarr color(blue)(8x^28x2

OUTERS:
-4x xx -34x×3 rarr color(purple)(12x12x

INNERS:
5 xx -2x5×2x rarr color(brown)(-10x)10x

LASTS:
5 xx -35×3 rarr color(green)(-1515

Now put them all together and simplify:

8x^2 + 12x - 10x - 158x2+12x10x15

8x^2 + 2x - 158x2+2x15