Evaluate
\left(w-1\right)\left(5w+7\right)
Expand
5w^{2}+2w-7
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-4w^{2}-3w-5+7w+7-\left(-9w^{2}+2w+9\right)
Combine -2w^{2} and -2w^{2} to get -4w^{2}.
-4w^{2}+4w-5+7-\left(-9w^{2}+2w+9\right)
Combine -3w and 7w to get 4w.
-4w^{2}+4w+2-\left(-9w^{2}+2w+9\right)
Add -5 and 7 to get 2.
-4w^{2}+4w+2+9w^{2}-2w-9
To find the opposite of -9w^{2}+2w+9, find the opposite of each term.
5w^{2}+4w+2-2w-9
Combine -4w^{2} and 9w^{2} to get 5w^{2}.
5w^{2}+2w+2-9
Combine 4w and -2w to get 2w.
5w^{2}+2w-7
Subtract 9 from 2 to get -7.
-4w^{2}-3w-5+7w+7-\left(-9w^{2}+2w+9\right)
Combine -2w^{2} and -2w^{2} to get -4w^{2}.
-4w^{2}+4w-5+7-\left(-9w^{2}+2w+9\right)
Combine -3w and 7w to get 4w.
-4w^{2}+4w+2-\left(-9w^{2}+2w+9\right)
Add -5 and 7 to get 2.
-4w^{2}+4w+2+9w^{2}-2w-9
To find the opposite of -9w^{2}+2w+9, find the opposite of each term.
5w^{2}+4w+2-2w-9
Combine -4w^{2} and 9w^{2} to get 5w^{2}.
5w^{2}+2w+2-9
Combine 4w and -2w to get 2w.
5w^{2}+2w-7
Subtract 9 from 2 to get -7.
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}