Question

Find the product of (x + 5)2. x2 − 10x + 25 x2 − 25 x2 + 25 x2 + 10x + 25

Answer 1

Answer: Last option.

Step-by-step explanation:

By definition, the square of a binomial is:

$(a+b)^2=a^2+2ab+b^2\\\\(a-b)^2=a^2-2ab+b^2$

Keeping the above on mind, you have the following expression given in the problem:

$(x+5)^2$

Therefore, if:

$a=x\\b=5$

You obtain the following trinomial:

$(x+5)^2=x^2+2(x)(5)+5^2=x^2+10x+25$

Therefore, the answer is the last option.