Evaluate
x\left(5x^{2}+12\right)
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5x^{3}+12x
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6x^{3}-8x^{2}+12x-x^{2}\left(x-8\right)
Use the distributive property to multiply 2x by 3x^{2}-4x+6.
6x^{3}-8x^{2}+12x-\left(x^{3}-8x^{2}\right)
Use the distributive property to multiply x^{2} by x-8.
6x^{3}-8x^{2}+12x-x^{3}+8x^{2}
To find the opposite of x^{3}-8x^{2}, find the opposite of each term.
5x^{3}-8x^{2}+12x+8x^{2}
Combine 6x^{3} and -x^{3} to get 5x^{3}.
5x^{3}+12x
Combine -8x^{2} and 8x^{2} to get 0.
6x^{3}-8x^{2}+12x-x^{2}\left(x-8\right)
Use the distributive property to multiply 2x by 3x^{2}-4x+6.
6x^{3}-8x^{2}+12x-\left(x^{3}-8x^{2}\right)
Use the distributive property to multiply x^{2} by x-8.
6x^{3}-8x^{2}+12x-x^{3}+8x^{2}
To find the opposite of x^{3}-8x^{2}, find the opposite of each term.
5x^{3}-8x^{2}+12x+8x^{2}
Combine 6x^{3} and -x^{3} to get 5x^{3}.
5x^{3}+12x
Combine -8x^{2} and 8x^{2} to get 0.
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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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