How do you foil $(16x + 13)(–8x + 15)$ ?

Question

1766 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-06-24T16:41:52

$-128x^2 + 136x + 195$

$(16x+13)(-8x+15)$

Use the distributive method FOIL (shown below) to simplify the expression:
enter image source here

Following this image, we can multiply it out.

The $color(teal)("firsts")$ :
$color(teal)(16x * -8x) = -128x^2$

The $color(indigo)("outers")$ :
$color(indigo)(16x * 15) = 240x$

The $color(peru)"inners"$ :
$color(peru)(13 * -8x) = -104x$

The $color(olivedrab)"lasts"$ :
$color(olivedrab)(13 * 15) = 195$

Combine them all together to get:
$-128x^2 + 240x - 104x + 195$

We can still combine the like terms $color(blue)(240x)$ and $color(blue)(-104x)$ :
$-128x^2 + 136x + 195$

Hope this helps!

How do you foil (16x + 13)(–8x + 15) (16x + 13)(–8x + 15) ?