What is the first step to simplify the expression?

Question

asked Oct 17, 2020 34.2k views

2 Answers

Muhammad Saqib · Answer 1 · 2020-10-21T19:11:19+0000

For this case, we must show the first step to simplify the following expression:

$\frac {3 (x + 8) ^ 2} {(x + 2)}$

So, the first step is to solve the binomial to the square of the numerator, in the form:

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

So, we have:

$(x + 8) ^ 2 = x ^ 2 + 2 * x * 8 + 8 ^ 2\\(x + 8) ^ 2 = x ^ 2 + 16x + 64$

Then, the expression is as follows:

$\frac {3 (x ^ 2 + 16x + 64)} {(x + 2)}$

Answer:

Option D