Question

factor this sum of two squares, 4x² + 9y²​

Answer 1

Answer:

Step-by-step explanation:First, expand the second part.

(2x-y)^2 = 4x^2 - 4xy + y^2

Subtract that from the first part (9y^2) so you get

8y^2 + 4xy - 4x^2

Then work on factoring

4(2y^2 + xy - x^2)

This is a + + -, therefor it will be a

(a+b)(c-b) factorial, and because the middle term is positive, c>a or cb>ab

I.e.

ac = 2y^2

bc - ac = xy

(b)(-b) = -x^2

From this, it easily becomes

(2y-x)(y+x) = 2y^2 + 2xy - xy -x^2 =

2y^2 + xy - x^2

Therefore this factors out to

(4)(2y-x)(y+x

Answer 2

Correct answer:-

Refer to the attachment.

hope it helps ✅✅✅

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