Factor
\left(x+1\right)\left(x+2\right)x^{2}
Evaluate
\left(x+1\right)\left(x+2\right)x^{2}
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x^{2}\left(x^{2}+3x+2\right)
Factor out x^{2}.
a+b=3 ab=1\times 2=2
Consider x^{2}+3x+2. Factor the expression by grouping. First, the expression needs to be rewritten as x^{2}+ax+bx+2. To find a and b, set up a system to be solved.
a=1 b=2
Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. The only such pair is the system solution.
\left(x^{2}+x\right)+\left(2x+2\right)
Rewrite x^{2}+3x+2 as \left(x^{2}+x\right)+\left(2x+2\right).
x\left(x+1\right)+2\left(x+1\right)
Factor out x in the first and 2 in the second group.
\left(x+1\right)\left(x+2\right)
Factor out common term x+1 by using distributive property.
x^{2}\left(x+1\right)\left(x+2\right)
Rewrite the complete factored expression.
Examples
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Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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