Evaluate
\left(a+3\right)\left(a+5\right)
Expand
a^{2}+8a+15
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a^{2}+10a+25-2\left(a+5\right)
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(a+5\right)^{2}.
a^{2}+10a+25-2a-10
Use the distributive property to multiply -2 by a+5.
a^{2}+8a+25-10
Combine 10a and -2a to get 8a.
a^{2}+8a+15
Subtract 10 from 25 to get 15.
a^{2}+10a+25-2\left(a+5\right)
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(a+5\right)^{2}.
a^{2}+10a+25-2a-10
Use the distributive property to multiply -2 by a+5.
a^{2}+8a+25-10
Combine 10a and -2a to get 8a.
a^{2}+8a+15
Subtract 10 from 25 to get 15.
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.
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\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}