Evaluate
6x^{2}+18x-10
Expand
6x^{2}+18x-10
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6x+10+2\left(3x^{2}+6x-10\right)
Use the distributive property to multiply 2 by 3x+5.
6x+10+6x^{2}+12x-20
Use the distributive property to multiply 2 by 3x^{2}+6x-10.
18x+10+6x^{2}-20
Combine 6x and 12x to get 18x.
18x-10+6x^{2}
Subtract 20 from 10 to get -10.
6x+10+2\left(3x^{2}+6x-10\right)
Use the distributive property to multiply 2 by 3x+5.
6x+10+6x^{2}+12x-20
Use the distributive property to multiply 2 by 3x^{2}+6x-10.
18x+10+6x^{2}-20
Combine 6x and 12x to get 18x.
18x-10+6x^{2}
Subtract 20 from 10 to get -10.
Examples
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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}