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PLEASE HELP WITH THE FOLLOWING!!

PLEASE HELP WITH THE FOLLOWING!!-example-1
User Nandu Raj
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1 Answer

14 votes
14 votes

Explanation:

we just do the multiplications that squaring is :

(x² + y²)² = (x² + y²)(x² + y²) =

= x⁴ + x²y² + x²y² + y⁴ = x⁴ + 2x²y² + y⁴

(x² - y²)² + (2xy)² = (x² - y²)(x² - y²) + 2xy×2xy =

= x⁴ - x²y² - x²y² + y⁴ + 4x²y² =

= x⁴ - 2x²y² + y⁴ + 4x²y² =

= x⁴ + 2x²y² + y⁴

as you can see, both results are the same.

therefore, the original equation is a true identity.

User Likebeats
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