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Popular >

expand (3x^3-18x^2+29x-4)/((x+1)(x-2)^3)

Solution

expand

\frac{3 x ^{3} - 18 x ^{2} + 29 x - 4}{( x + 1 ) ( x - 2 ) ^{3}}

Solution

\frac{3 x ^{3} - 18 x ^{2} + 29 x - 4}{x ^{4} - 5 x ^{3} + 6 x ^{2} + 4 x - 8}

Solution steps

\frac{3 x ^{3} - 18 x ^{2} + 29 x - 4}{( x + 1 ) ( x - 2 ) ^{3}}

(x - 2)^{3} = x^{3} - 6 x^{2} + 12 x - 8

= \frac{3 x ^{3} - 18 x ^{2} + 29 x - 4}{( x + 1 ) ( x ^{3} - 6 x ^{2} + 12 x - 8 )}

Expand

(x + 1) (x^{3} - 6 x^{2} + 12 x - 8) : x^{4} - 5 x^{3} + 6 x^{2} + 4 x - 8

= \frac{3 x ^{3} - 18 x ^{2} + 29 x - 4}{x ^{4} - 5 x ^{3} + 6 x ^{2} + 4 x - 8}

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Frequently Asked Questions (FAQ)

What is expand (3x^3-18x^2+29x-4)/((x+1)(x-2)^3) ?
The solution to expand (3x^3-18x^2+29x-4)/((x+1)(x-2)^3) is (3x^3-18x^2+29x-4)/(x^4-5x^3+6x^2+4x-8)