Question

Find the square.

(2x – 6)2
A. 4x2 – 24x + 36

B. 4x2 – 8x + 36

C. 4x2 + 36

D. 4x2 – 12x + 36

Answer 1

Lets first expand the brackets to see what we get.

(2x - 6)^2 = (2x - 6)(2x - 6)

Ok now lets find the square using the FOIL method which is what you may have learnt

(2x - 6)(2x - 6)

2x * 2x = 4x^2(First terms)
2x * -6 = -12x(Outside terms)
-6 * 2x = -12x(Inside terms)
-6 * -6 = 36(Last terms)

Now lets write out what we got

4x^2 - 12x - 12x + 36

And then we simplify by collecting like terms

4x^2 - 24x + 36

Thats out final answer, so your answer is A.

Answer 2

(2x-6) times (2x-6)
2x(2x)=4x sq.
2x(-6)=-12x
-6(2x)=-12x
-6(-6)=36
answer 4x^2-24x+36
-12+-12=-24