Question

49x^4 - 112x^2y^2 + 64y^4.
Question is in the picture..​

Answer 1

Answer:

((49•(x4))+((112•(x2))•(y2)))+26y4

(49 • (x4)) + ((24•7x2) • y2)) + (72x4 + (24•7x2y2)) + 26y4

Factoring 49x4 + 112x2y2 + 64y4

Try to factor this multi-variable trinomial using trial and error

Found a factorization : (7x2 + 8y2)•(7x2 + 8y2)

49x4 +112x2y2 +64y4 is a perfect square

It factors into (7x2+8y2)•(7x2+8y2)

which is another way of writing (7x2+8y2)2

Answer 2

Answer:

(7x2 + 8y2)2

Explanation

((49 • (x4)) + ((24•7x2) • y2)) + 26y4

(72x4 + (24•7x2y2)) + 26y4

4.2 49x4 +112x2y2 +64y4 is a perfect square

It factors into (7x2+8y2)•(7x2+8y2)

which is another way of writing (7x2+8y2)2

How to recognize a perfect square trinomial:

• It has three terms

• Two of its terms are perfect squares themselves

• The remaining term is twice the product of the square roots of the other two termsTry to factor this multi-variable trinomial using trial and error

Found a factorization : (7x2 + 8y2)•(7x2 + 8y2)