Evaluate
x\left(x-2\right)\left(x^{2}-2x-14\right)
Expand
x^{4}-4x^{3}-10x^{2}+28x
Graph
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\left(x^{2}\right)^{2}-4x^{2}x+4x^{2}-14\left(x^{2}-2x\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x^{2}-2x\right)^{2}.
x^{4}-4x^{2}x+4x^{2}-14\left(x^{2}-2x\right)
To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.
x^{4}-4x^{3}+4x^{2}-14\left(x^{2}-2x\right)
To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.
x^{4}-4x^{3}+4x^{2}-14x^{2}+28x
Use the distributive property to multiply -14 by x^{2}-2x.
x^{4}-4x^{3}-10x^{2}+28x
Combine 4x^{2} and -14x^{2} to get -10x^{2}.
\left(x^{2}\right)^{2}-4x^{2}x+4x^{2}-14\left(x^{2}-2x\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x^{2}-2x\right)^{2}.
x^{4}-4x^{2}x+4x^{2}-14\left(x^{2}-2x\right)
To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.
x^{4}-4x^{3}+4x^{2}-14\left(x^{2}-2x\right)
To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.
x^{4}-4x^{3}+4x^{2}-14x^{2}+28x
Use the distributive property to multiply -14 by x^{2}-2x.
x^{4}-4x^{3}-10x^{2}+28x
Combine 4x^{2} and -14x^{2} to get -10x^{2}.
Examples
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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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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