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27-4a
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27-4a
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\left(a^{2}+2a\right)\left(a-2\right)-\left(a-3\right)\left(a^{2}+3a+9\right)
Use the distributive property to multiply a by a+2.
a^{3}-4a-\left(a-3\right)\left(a^{2}+3a+9\right)
Use the distributive property to multiply a^{2}+2a by a-2 and combine like terms.
a^{3}-4a-\left(a^{3}-27\right)
Use the distributive property to multiply a-3 by a^{2}+3a+9 and combine like terms.
a^{3}-4a-a^{3}+27
To find the opposite of a^{3}-27, find the opposite of each term.
-4a+27
Combine a^{3} and -a^{3} to get 0.
\left(a^{2}+2a\right)\left(a-2\right)-\left(a-3\right)\left(a^{2}+3a+9\right)
Use the distributive property to multiply a by a+2.
a^{3}-4a-\left(a-3\right)\left(a^{2}+3a+9\right)
Use the distributive property to multiply a^{2}+2a by a-2 and combine like terms.
a^{3}-4a-\left(a^{3}-27\right)
Use the distributive property to multiply a-3 by a^{2}+3a+9 and combine like terms.
a^{3}-4a-a^{3}+27
To find the opposite of a^{3}-27, find the opposite of each term.
-4a+27
Combine a^{3} and -a^{3} to get 0.
Examples
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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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