Evaluate
8x^{2}-7x-11
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8x^{2}-7x-11
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3x-1+9x^{2}-3x-\left(x+5\right)\left(x+2\right)
Apply the distributive property by multiplying each term of 1+3x by each term of 3x-1.
-1+9x^{2}-\left(x+5\right)\left(x+2\right)
Combine 3x and -3x to get 0.
-1+9x^{2}-\left(x^{2}+2x+5x+10\right)
Apply the distributive property by multiplying each term of x+5 by each term of x+2.
-1+9x^{2}-\left(x^{2}+7x+10\right)
Combine 2x and 5x to get 7x.
-1+9x^{2}-x^{2}-7x-10
To find the opposite of x^{2}+7x+10, find the opposite of each term.
-1+8x^{2}-7x-10
Combine 9x^{2} and -x^{2} to get 8x^{2}.
-11+8x^{2}-7x
Subtract 10 from -1 to get -11.
3x-1+9x^{2}-3x-\left(x+5\right)\left(x+2\right)
Apply the distributive property by multiplying each term of 1+3x by each term of 3x-1.
-1+9x^{2}-\left(x+5\right)\left(x+2\right)
Combine 3x and -3x to get 0.
-1+9x^{2}-\left(x^{2}+2x+5x+10\right)
Apply the distributive property by multiplying each term of x+5 by each term of x+2.
-1+9x^{2}-\left(x^{2}+7x+10\right)
Combine 2x and 5x to get 7x.
-1+9x^{2}-x^{2}-7x-10
To find the opposite of x^{2}+7x+10, find the opposite of each term.
-1+8x^{2}-7x-10
Combine 9x^{2} and -x^{2} to get 8x^{2}.
-11+8x^{2}-7x
Subtract 10 from -1 to get -11.
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y = 3x + 4
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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}