Question

Which of the following is equivalent to, (3x–4y)(3x+4y)?

A. 9x^2 + 16y^2
B. 9x^2 – 16y^2
C. 9x^2 – 24xy – 16y^2
D. 6x^2 – 14xy + 16y^2
E. 6x^2 – 8y^2

Answer 1

Hello!

The answer is:

B.
`9x^(2)-16y^(2)`

Why?

To find the equivalent expression we need to apply the distributive property, so:

`(3x-4y)(3x+4y)=9x^(2)+12xy-12yx-16y^(2)\\\\9x^(2)+12xy-12yx-16y^(2)=9x^(2)+12xy-12xy-16y^(2)=9x^(2)-16y^(2)`

So, the correct option will be B.
`9x^(2)-16y^(2)`

Have a nice day!