Evaluate
\left(3x-5\right)\left(10x-13\right)
Expand
30x^{2}-89x+65
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30x^{2}-39x-\left(50x-65\right)
Use the distributive property to multiply 3x by 10x-13.
30x^{2}-39x-50x-\left(-65\right)
To find the opposite of 50x-65, find the opposite of each term.
30x^{2}-39x-50x+65
The opposite of -65 is 65.
30x^{2}-89x+65
Combine -39x and -50x to get -89x.
30x^{2}-39x-\left(50x-65\right)
Use the distributive property to multiply 3x by 10x-13.
30x^{2}-39x-50x-\left(-65\right)
To find the opposite of 50x-65, find the opposite of each term.
30x^{2}-39x-50x+65
The opposite of -65 is 65.
30x^{2}-89x+65
Combine -39x and -50x to get -89x.
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}