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Popular >

expand (x(x-11)^2)/((x+6)^3)

Solution

expand

\frac{x ( x - 11 ) ^{2}}{( x + 6 ) ^{3}}

Solution

\frac{x ^{3} - 22 x ^{2} + 121 x}{x ^{3} + 18 x ^{2} + 108 x + 216}

Solution steps

\frac{x ( x - 11 ) ^{2}}{( x + 6 ) ^{3}}

(x + 6)^{3} = x^{3} + 18 x^{2} + 108 x + 216

= \frac{x ( x - 11 ) ^{2}}{x ^{3} + 18 x ^{2} + 108 x + 216}

(x - 11)^{2} = x^{2} - 22 x + 121

= \frac{x ( x ^{2} - 22 x + 121 )}{x ^{3} + 18 x ^{2} + 108 x + 216}

Expand

x (x^{2} - 22 x + 121) : x^{3} - 22 x^{2} + 121 x

= \frac{x ^{3} - 22 x ^{2} + 121 x}{x ^{3} + 18 x ^{2} + 108 x + 216}

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Frequently Asked Questions (FAQ)

What is expand (x(x-11)^2)/((x+6)^3) ?
The solution to expand (x(x-11)^2)/((x+6)^3) is (x^3-22x^2+121x)/(x^3+18x^2+108x+216)