Express as a polynomial

$$(3x+2y)^2(3x-2y)^2$$

Question

Express as a polynomial

$$(3x+2y)^2(3x-2y)^2$$

anonymous · Answer

(3x+2y)(3x+2y)(3x-2y)(3x-2y)

simplify.

anonymous · Answer

Okay, I think I have an idea of what to do I'll let you know :=)

shane_b · Answer

If it helps, I believe the easiest way to simplify it would be to do it in 2 parts...so do (3x+2)(3x+2) then the other part...and the multiply them together.

anonymous · Answer

Okay... I took a totally different route... I didn't multiply the whole thing out if that's what your implying @Shane_B But here's what I did:$$=(3x+2y)(3x+2y)(3x-2y)(3x-2y)$$$$=(3x+2y)(3x-2y)(3x+2y)(3x-2y)$$And since that is the difference of two squares, then this becomes:$$=(9x^2-4y^2)(9x^2-4y^2)$$$$=(9x^2-4y^2)^2$$$$=81x^4-72x^2y^2+16y^4$$

anonymous · Answer

But thanks so much for your help @monokerous  and @Shane_B

anonymous · Answer

yw.