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