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7x^{2}-8
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7x^{2}-8
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3x^{2}-9x+2x-6+\left(4x-1\right)\left(x+2\right)
Apply the distributive property by multiplying each term of 3x+2 by each term of x-3.
3x^{2}-7x-6+\left(4x-1\right)\left(x+2\right)
Combine -9x and 2x to get -7x.
3x^{2}-7x-6+4x^{2}+8x-x-2
Apply the distributive property by multiplying each term of 4x-1 by each term of x+2.
3x^{2}-7x-6+4x^{2}+7x-2
Combine 8x and -x to get 7x.
7x^{2}-7x-6+7x-2
Combine 3x^{2} and 4x^{2} to get 7x^{2}.
7x^{2}-6-2
Combine -7x and 7x to get 0.
7x^{2}-8
Subtract 2 from -6 to get -8.
3x^{2}-9x+2x-6+\left(4x-1\right)\left(x+2\right)
Apply the distributive property by multiplying each term of 3x+2 by each term of x-3.
3x^{2}-7x-6+\left(4x-1\right)\left(x+2\right)
Combine -9x and 2x to get -7x.
3x^{2}-7x-6+4x^{2}+8x-x-2
Apply the distributive property by multiplying each term of 4x-1 by each term of x+2.
3x^{2}-7x-6+4x^{2}+7x-2
Combine 8x and -x to get 7x.
7x^{2}-7x-6+7x-2
Combine 3x^{2} and 4x^{2} to get 7x^{2}.
7x^{2}-6-2
Combine -7x and 7x to get 0.
7x^{2}-8
Subtract 2 from -6 to get -8.
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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}