Evaluate
6x\left(x-1\right)
Expand
6x^{2}-6x
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8x^{3}-6x^{2}-1-\left(8x^{3}-12x^{2}+6x-1\right)
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(2x-1\right)^{3}.
8x^{3}-6x^{2}-1-8x^{3}+12x^{2}-6x+1
To find the opposite of 8x^{3}-12x^{2}+6x-1, find the opposite of each term.
-6x^{2}-1+12x^{2}-6x+1
Combine 8x^{3} and -8x^{3} to get 0.
6x^{2}-1-6x+1
Combine -6x^{2} and 12x^{2} to get 6x^{2}.
6x^{2}-6x
Add -1 and 1 to get 0.
8x^{3}-6x^{2}-1-\left(8x^{3}-12x^{2}+6x-1\right)
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(2x-1\right)^{3}.
8x^{3}-6x^{2}-1-8x^{3}+12x^{2}-6x+1
To find the opposite of 8x^{3}-12x^{2}+6x-1, find the opposite of each term.
-6x^{2}-1+12x^{2}-6x+1
Combine 8x^{3} and -8x^{3} to get 0.
6x^{2}-1-6x+1
Combine -6x^{2} and 12x^{2} to get 6x^{2}.
6x^{2}-6x
Add -1 and 1 to get 0.
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Simultaneous equation
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Integration
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Limits
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