What is (x/y-y)(x/y+y) ?

The solution to (x/y-y)(x/y+y) is ((-y^2+x)(y^2+x))/(y^2)

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Popular >

simplify (x/y-y)(x/y+y)

simplify

(\frac{x}{y} - y) (\frac{x}{y} + y)

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

Solution steps

(\frac{x}{y} - y) (\frac{x}{y} + y)

Join

\frac{x}{y} - y : \frac{- y ^{2} + x}{y}

= \frac{- y ^{2} + x}{y} (\frac{x}{y} + y)

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{( - y ^{2} + x ) ( \frac{x}{y} + y )}{y}

Simplify

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

= \frac{\frac{( - y ^{2} + x ) ( y ^{2} + x )}{y}}{y}

Apply the fraction rule:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

= \frac{( - y ^{2} + x ) ( y ^{2} + x )}{yy}

Apply exponent rule:

aa = a^{2}

yy = y^{2}

= \frac{( - y ^{2} + x ) ( y ^{2} + x )}{y ^{2}}

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(x^{3} + 1) (2 x + \frac{2}{x ^{2}})

e^{x} sin (x) (- e^{x} sin (x) + e^{x} cos (x))

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What is (x/y-y)(x/y+y) ?
The solution to (x/y-y)(x/y+y) is ((-y^2+x)(y^2+x))/(y^2)