Question

16x^4+36x^2y^2+81y^4 how to factorize it?

Answer 1

Step-by-step explanation:

Let a=x^2 and b=y^2

Replace x^2 and y^2 with a and b.

The equation becomes 16a^2+36ab+81b^2

Now comes the harder part. Write the equation as:

16a^2+72ab+81b^2 - 36ab which equals to:

(4a+9b)^2 - 36ab

Now replace a and b with x^2 and y^2:

(4x^2 + 9y^2)^2 - 36x^2 y^2

=(4x^2 + 9y^2)^2 - (6xy)^2

=(4x^2 + 9y^2 - 6xy)(4x^2 + 9y^2 - 6xy)

hope it will help you

Answer 2

16x^4+36x^2y^2+81y^4 how to factorize it?