Expand
-7x^{3}+49x^{2}+35x-525
Evaluate
-7\left(x+3\right)\left(x-5\right)^{2}
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-7\left(x+3\right)\left(x^{2}-10x+25\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-5\right)^{2}.
\left(-7x-21\right)\left(x^{2}-10x+25\right)
Use the distributive property to multiply -7 by x+3.
-7x^{3}+49x^{2}+35x-525
Use the distributive property to multiply -7x-21 by x^{2}-10x+25 and combine like terms.
-7\left(x+3\right)\left(x^{2}-10x+25\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-5\right)^{2}.
\left(-7x-21\right)\left(x^{2}-10x+25\right)
Use the distributive property to multiply -7 by x+3.
-7x^{3}+49x^{2}+35x-525
Use the distributive property to multiply -7x-21 by x^{2}-10x+25 and combine like terms.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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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