Evaluate
-\left(x-1\right)\left(7x+5\right)
Expand
5+2x-7x^{2}
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6x^{2}-3x+4-13x^{2}+5x+1
To find the opposite of 13x^{2}-5x-1, find the opposite of each term.
-7x^{2}-3x+4+5x+1
Combine 6x^{2} and -13x^{2} to get -7x^{2}.
-7x^{2}+2x+4+1
Combine -3x and 5x to get 2x.
-7x^{2}+2x+5
Add 4 and 1 to get 5.
6x^{2}-3x+4-13x^{2}+5x+1
To find the opposite of 13x^{2}-5x-1, find the opposite of each term.
-7x^{2}-3x+4+5x+1
Combine 6x^{2} and -13x^{2} to get -7x^{2}.
-7x^{2}+2x+4+1
Combine -3x and 5x to get 2x.
-7x^{2}+2x+5
Add 4 and 1 to get 5.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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}