Expand
8x^{3}-28x^{2}-60x
Evaluate
4x\left(x-5\right)\left(2x+3\right)
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\left(4x^{2}-20x\right)\left(2x+3\right)
Use the distributive property to multiply 4x by x-5.
8x^{3}+12x^{2}-40x^{2}-60x
Apply the distributive property by multiplying each term of 4x^{2}-20x by each term of 2x+3.
8x^{3}-28x^{2}-60x
Combine 12x^{2} and -40x^{2} to get -28x^{2}.
\left(4x^{2}-20x\right)\left(2x+3\right)
Use the distributive property to multiply 4x by x-5.
8x^{3}+12x^{2}-40x^{2}-60x
Apply the distributive property by multiplying each term of 4x^{2}-20x by each term of 2x+3.
8x^{3}-28x^{2}-60x
Combine 12x^{2} and -40x^{2} to get -28x^{2}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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