What is ((x+2)/(x-3))((x-2)/(x-3)) ?

The solution to ((x+2)/(x-3))((x-2)/(x-3)) is ((x+2)(x-2))/((x-3)^2)

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simplify ((x+2)/(x-3))((x-2)/(x-3))

simplify

(\frac{x + 2}{x - 3}) (\frac{x - 2}{x - 3})

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

Solution steps

(\frac{x + 2}{x - 3}) (\frac{x - 2}{x - 3})

Simplify

(\frac{x + 2}{x - 3}) (\frac{x - 2}{x - 3}) : \frac{x + 2}{x - 3} \cdot \frac{x - 2}{x - 3}

= \frac{x + 2}{x - 3} \cdot \frac{x - 2}{x - 3}

Apply the fraction rule:

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

= \frac{( x + 2 ) ( x - 2 )}{( x - 3 ) ( x - 3 )}

Apply exponent rule:

aa = a^{2}

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

= \frac{( x + 2 ) ( x - 2 )}{( x - 3 ) ^{2}}

4 x^{3} + 8 x^{2} - 6 x - 12

\frac{8}{( x ^{2} + 6 x + 9 )} + \frac{4}{( x + 3 )}

\frac{( 2 ^{n + 2} + 2 ^{n} )}{( 2 ^{n - 2} + 2 ^{n} )}

a^{2} - a - (x^{2} + 7 x - 12)

12 x - 4 x^{5} x^{2}

What is ((x+2)/(x-3))((x-2)/(x-3)) ?
The solution to ((x+2)/(x-3))((x-2)/(x-3)) is ((x+2)(x-2))/((x-3)^2)