Evaluate
\left(3x-7\right)\left(6x-1\right)
Expand
18x^{2}-45x+7
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18x^{2}-42x-\left(3x-7\right)
Use the distributive property to multiply 6x by 3x-7.
18x^{2}-42x-3x-\left(-7\right)
To find the opposite of 3x-7, find the opposite of each term.
18x^{2}-42x-3x+7
The opposite of -7 is 7.
18x^{2}-45x+7
Combine -42x and -3x to get -45x.
18x^{2}-42x-\left(3x-7\right)
Use the distributive property to multiply 6x by 3x-7.
18x^{2}-42x-3x-\left(-7\right)
To find the opposite of 3x-7, find the opposite of each term.
18x^{2}-42x-3x+7
The opposite of -7 is 7.
18x^{2}-45x+7
Combine -42x and -3x to get -45x.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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}