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

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

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

simplify

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

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

Solution steps

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

Apply rule:

(a) = a

(i) = i

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

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

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

Rewrite in standard complex form:

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

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

x^{2} + 6 x^{2} + 16 x^{2} - 20 x^{2} - 3 x^{2}

(\frac{4 x - 5 y}{2 x + y}) - (\frac{x - 2 y}{2 x + y})

\frac{351}{3 \cdot k}

(4 y^{- 3})^{2}

6 x + (- 2) y^{2} + 4 x \cdot y^{2} + 3 x^{2} + 5 x \cdot y^{2}

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