The correct option is A xy(x2+y2)(x4+y4 x2y2)x7y + xy7 = xy ( x6 + y6) = xy (x2)3 + (y2)3 = xy ( x2 + y2) ( x4 x2y2 + y4) ...

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Algebraic Identities

Factorise: x7...

Question

Factorise: x⁷y + xy⁷

xy(x²+y²)(x⁴+y⁴-x²y²)

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xy(x²-y²)(x⁴-y⁴+x²y²)

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xy(x²-y²)(x⁴+y⁴-x²y²)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

xy(x²+y²)(x⁴-y²+x²y²)

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Solution

The correct option is A
xy(x²+y²)(x⁴+y⁴-x²y²)

x⁷y + xy⁷ = xy ( x⁶ + y⁶)

= xy { (x²)³+ (y²)³ }

= xy ( x² + y²) ( x⁴ - x²y² + y⁴)

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Factorise: $27 x^{3} + y^{3} + z^{3} - 9 x y z$

9 x^{2} + 6 x + 1 - 25 y^{2}

a^{2} + b^{2} + 2 a b 2 b c + 2 c a

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