Use your knowledge of special cases to solve the problem.

( 3a - 2b )2 = ??

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

b)9a^2 - 4b^2

c)9a^2 - 12ab + 4b^2

Respuesta :

Answer:

C

Step-by-step explanation:

We want to simplify:

[tex](3a-2b)^2[/tex]

Recall the perfect square trinomial pattern:

[tex](a+b)^2=a^2+2ab+b^2[/tex]

Let a = 3a and b = -2b. Thus:

[tex](3a-2b)^2=(3a)^2+2(3a)(-2b)+(-2b)^2[/tex]

Simplify:

[tex]=9a^2-12ab+4b^2[/tex]

Our answer is C.