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x^{2}+x-1
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x^{2}+x-1
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\frac{\left(3x+2\right)x}{3}-\frac{3-x}{3}
Express \left(3x+2\right)\times \frac{x}{3} as a single fraction.
\frac{\left(3x+2\right)x-\left(3-x\right)}{3}
Since \frac{\left(3x+2\right)x}{3} and \frac{3-x}{3} have the same denominator, subtract them by subtracting their numerators.
\frac{3x^{2}+2x-3+x}{3}
Do the multiplications in \left(3x+2\right)x-\left(3-x\right).
\frac{3x^{2}+3x-3}{3}
Combine like terms in 3x^{2}+2x-3+x.
-1+x+x^{2}
Divide each term of 3x^{2}+3x-3 by 3 to get -1+x+x^{2}.
\frac{\left(3x+2\right)x}{3}-\frac{3-x}{3}
Express \left(3x+2\right)\times \frac{x}{3} as a single fraction.
\frac{\left(3x+2\right)x-\left(3-x\right)}{3}
Since \frac{\left(3x+2\right)x}{3} and \frac{3-x}{3} have the same denominator, subtract them by subtracting their numerators.
\frac{3x^{2}+2x-3+x}{3}
Do the multiplications in \left(3x+2\right)x-\left(3-x\right).
\frac{3x^{2}+3x-3}{3}
Combine like terms in 3x^{2}+2x-3+x.
-1+x+x^{2}
Divide each term of 3x^{2}+3x-3 by 3 to get -1+x+x^{2}.
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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