Question

Factories the following expression 49x4 - 16y4

Answer 1

Answer:

The answer is $(\sqrt 7x-2y)(\sqrt 7x+2y)(7x^2+4y^2)$

Step-by-step explanation:

Concept : $a^2-b^2=(a-b)(a+b)$

Thus

$49x^4-16y^4\\=(7x^2)^2-(4y^2)^2\\=(7x^2-4y^2)(7x^2+4y^2)\\=[(\sqrt 7x)^2-(2y)^2](7x^2+4y^2)\\=(\sqrt 7x-2y)(\sqrt 7x+2y)(7x^2+4y^2)$