Question

Question #ae1fc

Answer 1

`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.