Evaluate
11p\left(3p+7q\right)
Expand
33p^{2}+77pq
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21pq+49p^{2}-8p\left(2p-7q\right)
Use the distributive property to multiply 7p by 3q+7p.
21pq+49p^{2}-16p^{2}+56pq
Use the distributive property to multiply -8p by 2p-7q.
21pq+33p^{2}+56pq
Combine 49p^{2} and -16p^{2} to get 33p^{2}.
77pq+33p^{2}
Combine 21pq and 56pq to get 77pq.
21pq+49p^{2}-8p\left(2p-7q\right)
Use the distributive property to multiply 7p by 3q+7p.
21pq+49p^{2}-16p^{2}+56pq
Use the distributive property to multiply -8p by 2p-7q.
21pq+33p^{2}+56pq
Combine 49p^{2} and -16p^{2} to get 33p^{2}.
77pq+33p^{2}
Combine 21pq and 56pq to get 77pq.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}