Evaluate
6a\left(a+10\right)
Expand
6a^{2}+60a
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6\left(25+10a+a^{2}\right)-6\times 5^{2}
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(5+a\right)^{2}.
150+60a+6a^{2}-6\times 5^{2}
Use the distributive property to multiply 6 by 25+10a+a^{2}.
150+60a+6a^{2}-6\times 25
Calculate 5 to the power of 2 and get 25.
150+60a+6a^{2}-150
Multiply 6 and 25 to get 150.
60a+6a^{2}
Subtract 150 from 150 to get 0.
6\left(25+10a+a^{2}\right)-6\times 5^{2}
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(5+a\right)^{2}.
150+60a+6a^{2}-6\times 5^{2}
Use the distributive property to multiply 6 by 25+10a+a^{2}.
150+60a+6a^{2}-6\times 25
Calculate 5 to the power of 2 and get 25.
150+60a+6a^{2}-150
Multiply 6 and 25 to get 150.
60a+6a^{2}
Subtract 150 from 150 to get 0.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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699 * 533
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}