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

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

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

simplify

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

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

Solution steps

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

Apply the fraction rule:

a + \frac{b}{c} = \frac{a c + b}{c}

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

Apply rule:

1 \cdot a = a

- 1 \cdot (x + 1) = - (x + 1)

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

Simplify

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

= \frac{- x - 1 + 3 x ^{2}}{x + 1}

(x + 6)^{5}

9 x^{3} y^{2} + 24 x^{4} y^{3}

\frac{4 14}{12}

(2 x - 3) (5 x + 6)

\frac{x ^{2} - 1}{x - 1}