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A^{3}-1
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A^{3}-1
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A^{3}-3A^{2}+3A-1+3A\left(A-1\right)
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(A-1\right)^{3}.
A^{3}-3A^{2}+3A-1+3A^{2}-3A
Use the distributive property to multiply 3A by A-1.
A^{3}+3A-1-3A
Combine -3A^{2} and 3A^{2} to get 0.
A^{3}-1
Combine 3A and -3A to get 0.
A^{3}-3A^{2}+3A-1+3A\left(A-1\right)
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(A-1\right)^{3}.
A^{3}-3A^{2}+3A-1+3A^{2}-3A
Use the distributive property to multiply 3A by A-1.
A^{3}+3A-1-3A
Combine -3A^{2} and 3A^{2} to get 0.
A^{3}-1
Combine 3A and -3A 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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