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Simplify the following i. (x²- y²)² + 4x²y²
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5 votes
Simplify the following
i. (x²- y²)² + 4x²y²

User Luke D
by
7.6k points

1 Answer

1 vote

Answer:


x^(4) + 2x²y² +
y^(4)

Explanation:

(x² - y²)² + 4x²y²

= (x² - y²)(x² - y²) + 4x²y²

= x²(x² - y²) - y²(x² - y²) + 4x²y² ← distribute parenthesis

=
x^(4) - x²y² - x²y² +
y^(4) + 4x²y² ← collect like terms

=
x^(4) - 2x²y² +
y^(4) + 4x²y²

=
x^(4) + 2x²y² +
y^(4)

User Tj Kellie
by
9.2k points
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