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-6w^{2}-7w-5
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-6w^{2}-7w-5
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-10w^{2}+8w+9-7w-7-\left(-4w^{2}+8w+7\right)
Combine -6w^{2} and -4w^{2} to get -10w^{2}.
-10w^{2}+w+9-7-\left(-4w^{2}+8w+7\right)
Combine 8w and -7w to get w.
-10w^{2}+w+2-\left(-4w^{2}+8w+7\right)
Subtract 7 from 9 to get 2.
-10w^{2}+w+2+4w^{2}-8w-7
To find the opposite of -4w^{2}+8w+7, find the opposite of each term.
-6w^{2}+w+2-8w-7
Combine -10w^{2} and 4w^{2} to get -6w^{2}.
-6w^{2}-7w+2-7
Combine w and -8w to get -7w.
-6w^{2}-7w-5
Subtract 7 from 2 to get -5.
-10w^{2}+8w+9-7w-7-\left(-4w^{2}+8w+7\right)
Combine -6w^{2} and -4w^{2} to get -10w^{2}.
-10w^{2}+w+9-7-\left(-4w^{2}+8w+7\right)
Combine 8w and -7w to get w.
-10w^{2}+w+2-\left(-4w^{2}+8w+7\right)
Subtract 7 from 9 to get 2.
-10w^{2}+w+2+4w^{2}-8w-7
To find the opposite of -4w^{2}+8w+7, find the opposite of each term.
-6w^{2}+w+2-8w-7
Combine -10w^{2} and 4w^{2} to get -6w^{2}.
-6w^{2}-7w+2-7
Combine w and -8w to get -7w.
-6w^{2}-7w-5
Subtract 7 from 2 to get -5.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
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}