Factor
\left(x-3\right)\left(x+1\right)x^{2}
Evaluate
\left(x-3\right)\left(x+1\right)x^{2}
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x^{2}\left(x^{2}-2x-3\right)
Factor out x^{2}.
a+b=-2 ab=1\left(-3\right)=-3
Consider x^{2}-2x-3. Factor the expression by grouping. First, the expression needs to be rewritten as x^{2}+ax+bx-3. To find a and b, set up a system to be solved.
a=-3 b=1
Since ab is negative, a and b have the opposite signs. Since a+b is negative, the negative number has greater absolute value than the positive. The only such pair is the system solution.
\left(x^{2}-3x\right)+\left(x-3\right)
Rewrite x^{2}-2x-3 as \left(x^{2}-3x\right)+\left(x-3\right).
x\left(x-3\right)+x-3
Factor out x in x^{2}-3x.
\left(x-3\right)\left(x+1\right)
Factor out common term x-3 by using distributive property.
x^{2}\left(x-3\right)\left(x+1\right)
Rewrite the complete factored expression.
Examples
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Matrix
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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