The correct option is D (x^4 nbsp; y^4) Here we are using identity, (x+y)(x y) = (x^2 nbsp; y^2) nbsp; According to the question, we have nbsp; ...

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Polynomial Expressions

x+yx-yx2+y2=

Question

$(x + y) (x - y) (x^{2} + y^{2})$ = ___________.

$(x^{3} - y^{3})$

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$(x^{3} + y^{3})$

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$(x^{4} + y^{4})$

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$(x^{4} - y^{4})$

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Solution

The correct option is D
$(x^{4} - y^{4})$

Here we are using identity,
$(x + y) (x - y)$ = $(x^{2} - y^{2})$

According to the question, we have
$(x + y) (x - y) (x^{2} + y^{2})$

$= (x^{2} - y^{2}) (x^{2} + y^{2})$

$= (x^{4} - y^{4})$

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Similar questions

$(x + y) (x - y) (x^{2} + y^{2}$ ) is equal to

(x + y) (x - y) (x^{2} + y^{2})

Simplify: $(x - y) (x + y) (x^{2} + y^{2}) (x^{4} + y^{4})$

Find the value of $(x + y) (x - y) (x^{2} + y^{2}$ ) when $x = 3$ and $y = 2$

x^{3} + y^{3} = (x + y) (x^{2} - x y + y^{2})

x^{3} - y^{3} = (x - y) (x^{2} + x y + y^{2})

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