Question

Which of the following expressions is equivalent to (x + 5)2?

O A. (x + 5)(x + 5) + 10(x + 5)
OB. (x - 5)(x + 5) + 10(x + 5)
OC. (x + 5)(x + 5) + 10(x - 5)
OD. (x - 5)(x - 5) + 10(x - 5)



Please someone help me this texts is so important and I need it done by the end of today!

Answer 1

B

Explanation:

Expand (x+5)^2 through binomial expansion and you get x^2+10x+25.

Break up the problem into little pieces like (x-5)(x+5) and 10(x+5)

Solve the first piece (x-5)(x+5) by doing something like FOIL.

x^2-25

Do the second piece

10x+50

When you add them together, it becomes x^2+10x+25, and (x+5)^2=(x-5)(x+5)+10(x+5).