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8-6x-20x^{2}
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8-6x-20x^{2}
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-8x+4-\left(5x+2\right)\left(4x-2\right)
Use the distributive property to multiply 4x-2 by -2.
-8x+4-\left(20x^{2}-10x+8x-4\right)
Apply the distributive property by multiplying each term of 5x+2 by each term of 4x-2.
-8x+4-\left(20x^{2}-2x-4\right)
Combine -10x and 8x to get -2x.
-8x+4-20x^{2}-\left(-2x\right)-\left(-4\right)
To find the opposite of 20x^{2}-2x-4, find the opposite of each term.
-8x+4-20x^{2}+2x-\left(-4\right)
The opposite of -2x is 2x.
-8x+4-20x^{2}+2x+4
The opposite of -4 is 4.
-6x+4-20x^{2}+4
Combine -8x and 2x to get -6x.
-6x+8-20x^{2}
Add 4 and 4 to get 8.
-8x+4-\left(5x+2\right)\left(4x-2\right)
Use the distributive property to multiply 4x-2 by -2.
-8x+4-\left(20x^{2}-10x+8x-4\right)
Apply the distributive property by multiplying each term of 5x+2 by each term of 4x-2.
-8x+4-\left(20x^{2}-2x-4\right)
Combine -10x and 8x to get -2x.
-8x+4-20x^{2}-\left(-2x\right)-\left(-4\right)
To find the opposite of 20x^{2}-2x-4, find the opposite of each term.
-8x+4-20x^{2}+2x-\left(-4\right)
The opposite of -2x is 2x.
-8x+4-20x^{2}+2x+4
The opposite of -4 is 4.
-6x+4-20x^{2}+4
Combine -8x and 2x to get -6x.
-6x+8-20x^{2}
Add 4 and 4 to get 8.
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Matrix
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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}