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3 years ago

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

Mathematics

1 answer:

stealth61 [152]3 years ago

6 0

Answer:

(x + y - 2xy)*(x + y + 2xy)

Step-by-step explanation:

x^2-4x^2y^2+y^2+2*x*y

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

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

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

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Given that we have to find the product and write it in lowest term

Given expression is:

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Let us first find common factors of numerator and denominator so, thet simplification becomes easier

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In decimal form, we get

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X^2-4x^2y^2+y^2+2*x*y

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