Question

16x^4+48x^2y^2+36y^4

Answer 1

For this case we factor the following polynomial;

$16x ^ 4 + 48x ^ 2y ^ 2 + 36y ^ 4$

So:

We take common factor 4:

$4 (4x ^ 4 + 12x ^ 2y ^ 2 + 9y ^ 4) =$

We rewrite the following terms:

$4x ^ 4 = (2x ^ 2) ^ 2\\9y ^ 4 = (3y ^ 2) ^ 2\\4 ((2x ^ 2) ^ 2 + 12x ^ 2y ^ 2 + (3y ^ 2) ^ 2) =$

Verify the term of the medium:

$2ab = 2 (2x ^ 2) (3y ^ 2)$

Factor using the trinomial rule of the perfect square:

$a ^ 2 + 2ab + b ^ 2 = (a + b) ^ 2$

Where:

$a = 2x ^ 2\\b = 3y ^ 2$

Then, rewriting:

$4 (2x ^ 2 + 3y ^ 2) ^ 2$

Answer:

$4 (2x ^ 2 + 3y ^ 2) ^ 2$

Answer 2

64x + 38y + 10 is your answer......