Evaluate
\left(3-p\right)p^{2}
Expand
3p^{2}-p^{3}
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p^{2}q^{2}+p^{2}-p^{2}\left(q^{2}-1\right)+p^{2}+q^{2}p^{3}-p^{3}\left(q^{2}+1\right)
Use the distributive property to multiply p^{2} by q^{2}+1.
p^{2}q^{2}+p^{2}-\left(p^{2}q^{2}-p^{2}\right)+p^{2}+q^{2}p^{3}-p^{3}\left(q^{2}+1\right)
Use the distributive property to multiply p^{2} by q^{2}-1.
p^{2}q^{2}+p^{2}-p^{2}q^{2}+p^{2}+p^{2}+q^{2}p^{3}-p^{3}\left(q^{2}+1\right)
To find the opposite of p^{2}q^{2}-p^{2}, find the opposite of each term.
p^{2}+p^{2}+p^{2}+q^{2}p^{3}-p^{3}\left(q^{2}+1\right)
Combine p^{2}q^{2} and -p^{2}q^{2} to get 0.
2p^{2}+p^{2}+q^{2}p^{3}-p^{3}\left(q^{2}+1\right)
Combine p^{2} and p^{2} to get 2p^{2}.
3p^{2}+q^{2}p^{3}-p^{3}\left(q^{2}+1\right)
Combine 2p^{2} and p^{2} to get 3p^{2}.
3p^{2}+q^{2}p^{3}-\left(p^{3}q^{2}+p^{3}\right)
Use the distributive property to multiply p^{3} by q^{2}+1.
3p^{2}+q^{2}p^{3}-p^{3}q^{2}-p^{3}
To find the opposite of p^{3}q^{2}+p^{3}, find the opposite of each term.
3p^{2}-p^{3}
Combine q^{2}p^{3} and -p^{3}q^{2} to get 0.
p^{2}q^{2}+p^{2}-p^{2}\left(q^{2}-1\right)+p^{2}+q^{2}p^{3}-p^{3}\left(q^{2}+1\right)
Use the distributive property to multiply p^{2} by q^{2}+1.
p^{2}q^{2}+p^{2}-\left(p^{2}q^{2}-p^{2}\right)+p^{2}+q^{2}p^{3}-p^{3}\left(q^{2}+1\right)
Use the distributive property to multiply p^{2} by q^{2}-1.
p^{2}q^{2}+p^{2}-p^{2}q^{2}+p^{2}+p^{2}+q^{2}p^{3}-p^{3}\left(q^{2}+1\right)
To find the opposite of p^{2}q^{2}-p^{2}, find the opposite of each term.
p^{2}+p^{2}+p^{2}+q^{2}p^{3}-p^{3}\left(q^{2}+1\right)
Combine p^{2}q^{2} and -p^{2}q^{2} to get 0.
2p^{2}+p^{2}+q^{2}p^{3}-p^{3}\left(q^{2}+1\right)
Combine p^{2} and p^{2} to get 2p^{2}.
3p^{2}+q^{2}p^{3}-p^{3}\left(q^{2}+1\right)
Combine 2p^{2} and p^{2} to get 3p^{2}.
3p^{2}+q^{2}p^{3}-\left(p^{3}q^{2}+p^{3}\right)
Use the distributive property to multiply p^{3} by q^{2}+1.
3p^{2}+q^{2}p^{3}-p^{3}q^{2}-p^{3}
To find the opposite of p^{3}q^{2}+p^{3}, find the opposite of each term.
3p^{2}-p^{3}
Combine q^{2}p^{3} and -p^{3}q^{2} to get 0.
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
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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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}