Question #ae1fc

1 Answer
Nov 5, 2017

#64 + 32x + 4x^2#

Explanation:

According to the order of operations:

First: terms/factors between brackets, which is: #4 + x#, but you can't solve this furthermore, so you leave it like this.

Second: powers or square roots, which is #(4 + x)^2#. It's a special product (a perfect square trinomial). So it becomes

#16 + 8x + x²#

since #(a + b)^2 = (a^2 + 2ab + b^2)#

Third: multiplications or divisions, which is #4(4 + x)^2# We already calculated that

#(4 + x)^2 = 16 + 8x + x^2#

So then multiply the whole polynomial with #4#

#4 * 16 + 4 * 8x + 4 * x^2 = 64 + 32x + 4x^2#

Fourth: additions or subtractions, you don't have any. So

#64 + 32x + 4x^2#

is the final answer.