Evaluate
-7x^{2}+41x-8
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-7x^{2}+41x-8
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-3x^{2}+8x+\left(4x-1\right)\left(-x+8\right)
Use the distributive property to multiply -2x by 1.5x-4.
-3x^{2}+8x+4x\left(-x\right)+32x-\left(-x\right)-8
Apply the distributive property by multiplying each term of 4x-1 by each term of -x+8.
-3x^{2}+8x+4x\left(-x\right)+32x+x-8
Multiply -1 and -1 to get 1.
-3x^{2}+8x+4x\left(-x\right)+33x-8
Combine 32x and x to get 33x.
-3x^{2}+41x+4x\left(-x\right)-8
Combine 8x and 33x to get 41x.
-3x^{2}+41x+4x^{2}\left(-1\right)-8
Multiply x and x to get x^{2}.
-3x^{2}+41x-4x^{2}-8
Multiply 4 and -1 to get -4.
-7x^{2}+41x-8
Combine -3x^{2} and -4x^{2} to get -7x^{2}.
-3x^{2}+8x+\left(4x-1\right)\left(-x+8\right)
Use the distributive property to multiply -2x by 1.5x-4.
-3x^{2}+8x+4x\left(-x\right)+32x-\left(-x\right)-8
Apply the distributive property by multiplying each term of 4x-1 by each term of -x+8.
-3x^{2}+8x+4x\left(-x\right)+32x+x-8
Multiply -1 and -1 to get 1.
-3x^{2}+8x+4x\left(-x\right)+33x-8
Combine 32x and x to get 33x.
-3x^{2}+41x+4x\left(-x\right)-8
Combine 8x and 33x to get 41x.
-3x^{2}+41x+4x^{2}\left(-1\right)-8
Multiply x and x to get x^{2}.
-3x^{2}+41x-4x^{2}-8
Multiply 4 and -1 to get -4.
-7x^{2}+41x-8
Combine -3x^{2} and -4x^{2} to get -7x^{2}.
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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