the expression (2a+3b)*2 is equivalent to?

Question

answers given pick correct answer=
A)4a*2+6ab+9b*2 B)4a*2+12a*2b*2+9b*2 C)4a*2+9b*2
D)4a*2+12ab+9b*2

Answer 1

(2a + 3b)(2a + 3b)
4a² + 12ab + 9b²
OPTION D)

Answer 2

None of them..

2(2a + 3b) = 4a + 6b.

I think you mean (2a + 3b)^2, though. ^2 is to the power of two, *2 means times 2. I'll do it with ^2.

Okay, here is the equation:

(2a + 3b)^2

What you want to do is simplify it. Since it is ^2, it will become:

(2a + 3b)(2a + 3b)

Now just distribute.

4a^2 + 12ab + 9a^2

So, the answer is D.

Answer 3

(x+y)*2 = x^2+2xy+y^2
x=2a
y=3b
=(2a)^2 + 2(2a)(3b) + (3b)^2
=4a^2+12ab+9b^2
D) is the answer.