Evaluate
\left(y-4\right)^{3}
Expand
y^{3}-12y^{2}+48y-64
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\left(y-4\right)^{2}\left(y-4\right)
Multiply y-4 and y-4 to get \left(y-4\right)^{2}.
\left(y-4\right)^{3}
To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.
y^{3}-12y^{2}+48y-64
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(y-4\right)^{3}.
\left(y-4\right)^{2}\left(y-4\right)
Multiply y-4 and y-4 to get \left(y-4\right)^{2}.
\left(y-4\right)^{3}
To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.
y^{3}-12y^{2}+48y-64
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(y-4\right)^{3}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Matrix
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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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