What is (x^4+2x^3+x^2)/(x+1) ?

The solution to (x^4+2x^3+x^2)/(x+1) is x^2(x+1)

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simplify (x^4+2x^3+x^2)/(x+1)

simplify

\frac{x ^{4} + 2 x ^{3} + x ^{2}}{x + 1}

x^{2} (x + 1)

Solution steps

\frac{x ^{4} + 2 x ^{3} + x ^{2}}{x + 1}

Factor

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

= \frac{x ^{2} ( x + 1 ) ^{2}}{x + 1}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(x + 1)^{2} = (x + 1) (x + 1)

= \frac{x ^{2} ( x + 1 ) ( x + 1 )}{x + 1}

Cancel the common factor:

x + 1

= x^{2} (x + 1)

cos (t) cos (t)

- 24 y - 6 x^{3} y^{2} z^{3}

(53)^{- 2.5}

2 - 4 (2)^{- 1} + 1