Evaluate
-\left(5p+5q+2\right)^{2}-5q^{2}+10p
Expand
-25p^{2}-50pq-10p-30q^{2}-20q-4
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10p-1\times 5q^{2}-\left(-5p-2-5q\right)^{2}
Multiply 2 and 5 to get 10.
10p-5q^{2}-\left(-5p-2-5q\right)^{2}
Multiply 1 and 5 to get 5.
10p-5q^{2}-\left(25p^{2}+50pq+20p+25q^{2}+20q+4\right)
Square -5p-2-5q.
10p-5q^{2}-25p^{2}-50pq-20p-25q^{2}-20q-4
To find the opposite of 25p^{2}+50pq+20p+25q^{2}+20q+4, find the opposite of each term.
-10p-5q^{2}-25p^{2}-50pq-25q^{2}-20q-4
Combine 10p and -20p to get -10p.
-10p-30q^{2}-25p^{2}-50pq-20q-4
Combine -5q^{2} and -25q^{2} to get -30q^{2}.
10p-1\times 5q^{2}-\left(-5p-2-5q\right)^{2}
Multiply 2 and 5 to get 10.
10p-5q^{2}-\left(-5p-2-5q\right)^{2}
Multiply 1 and 5 to get 5.
10p-5q^{2}-\left(25p^{2}+50pq+20p+25q^{2}+20q+4\right)
Square -5p-2-5q.
10p-5q^{2}-25p^{2}-50pq-20p-25q^{2}-20q-4
To find the opposite of 25p^{2}+50pq+20p+25q^{2}+20q+4, find the opposite of each term.
-10p-5q^{2}-25p^{2}-50pq-25q^{2}-20q-4
Combine 10p and -20p to get -10p.
-10p-30q^{2}-25p^{2}-50pq-20q-4
Combine -5q^{2} and -25q^{2} to get -30q^{2}.
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}