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Popular >

expand ((2-x)\times (x+3)^2)/((x^2+x+1)(x-5))

Solution

expand

\frac{( 2 - x ) \cdot ( x + 3 ) ^{2}}{( x ^{2} + x + 1 ) ( x - 5 )}

Solution

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

Solution steps

\frac{( 2 - x ) ( x + 3 ) ^{2}}{( x ^{2} + x + 1 ) ( x - 5 )}

(x + 3)^{2} = x^{2} + 6 x + 9

= \frac{( - x + 2 ) ( x ^{2} + 6 x + 9 )}{( x ^{2} + x + 1 ) ( x - 5 )}

Expand

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

= \frac{( - x + 2 ) ( x ^{2} + 6 x + 9 )}{x ^{3} - 4 x ^{2} - 4 x - 5}

Expand

(2 - x) (x^{2} + 6 x + 9) : - x^{3} - 4 x^{2} + 3 x + 18

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

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Frequently Asked Questions (FAQ)

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