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