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20x^{2}-7
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20x^{2}-7
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13x^{2}+8x-9-4x+7-\left(-7x^{2}+4x+5\right)
Combine 7x^{2} and 6x^{2} to get 13x^{2}.
13x^{2}+4x-9+7-\left(-7x^{2}+4x+5\right)
Combine 8x and -4x to get 4x.
13x^{2}+4x-2-\left(-7x^{2}+4x+5\right)
Add -9 and 7 to get -2.
13x^{2}+4x-2+7x^{2}-4x-5
To find the opposite of -7x^{2}+4x+5, find the opposite of each term.
20x^{2}+4x-2-4x-5
Combine 13x^{2} and 7x^{2} to get 20x^{2}.
20x^{2}-2-5
Combine 4x and -4x to get 0.
20x^{2}-7
Subtract 5 from -2 to get -7.
13x^{2}+8x-9-4x+7-\left(-7x^{2}+4x+5\right)
Combine 7x^{2} and 6x^{2} to get 13x^{2}.
13x^{2}+4x-9+7-\left(-7x^{2}+4x+5\right)
Combine 8x and -4x to get 4x.
13x^{2}+4x-2-\left(-7x^{2}+4x+5\right)
Add -9 and 7 to get -2.
13x^{2}+4x-2+7x^{2}-4x-5
To find the opposite of -7x^{2}+4x+5, find the opposite of each term.
20x^{2}+4x-2-4x-5
Combine 13x^{2} and 7x^{2} to get 20x^{2}.
20x^{2}-2-5
Combine 4x and -4x to get 0.
20x^{2}-7
Subtract 5 from -2 to get -7.
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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}