Simplify- x 4-y 4x 2-y 2

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Factors of Algebraic Expressions and Factorisation

Simplify: x ...

Question

Simplify:
$\frac{x^{4} - y^{4}}{x^{2} + y^{2}}$

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Solution

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

(x^{4} - y^{4}) : (x + y)^{4}

The simplified form of the expression given below is :-

$\begin{matrix} y^{4} - x^{4} - ------ - - y^{3} - - - \frac{x (x + y) x}{y^{2} - x y + x^{2}} \end{matrix}$

Divide $x^{4} - y^{4}$ by $x^{2} - y^{2}$ .

x^{4} + x^{2} y^{2} + y^{4}

Factorize

i) x⁴ - y⁴+ x²- y²

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