How do you simplify $(x+7)(x+2)$ ?

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Answer 1 · 2017-03-19T04:19:37

$x^2 + 9x + 14$

This problem is solved using the FOIL method:

Multiply the F irst terms,
Multiply the O uter terms,
Multiply the I nner terms,
Multiply the L ast terms,

and add all those products together.

So, to foil $(x+7)(x+2)$ , use the steps below:

First: $x * x = x^2$
Outer: $x * 2 = 2x$
Inner: $x * 7 = 7x$
Last: $7 * 2 = 14$

First + Outer + Inner + Last
$= x^2 + 2x + 7x + 14$
$= x^2 + 9x + 14$

Final answer

How do you simplify (x+7)(x+2)(x+7)(x+2)?