Evaluate
\left(5x+2\right)\left(5x+8\right)
Expand
25x^{2}+50x+16
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25x^{2}+10x+1+8\left(5x+1\right)+7
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(5x+1\right)^{2}.
25x^{2}+10x+1+40x+8+7
Use the distributive property to multiply 8 by 5x+1.
25x^{2}+50x+1+8+7
Combine 10x and 40x to get 50x.
25x^{2}+50x+9+7
Add 1 and 8 to get 9.
25x^{2}+50x+16
Add 9 and 7 to get 16.
25x^{2}+10x+1+8\left(5x+1\right)+7
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(5x+1\right)^{2}.
25x^{2}+10x+1+40x+8+7
Use the distributive property to multiply 8 by 5x+1.
25x^{2}+50x+1+8+7
Combine 10x and 40x to get 50x.
25x^{2}+50x+9+7
Add 1 and 8 to get 9.
25x^{2}+50x+16
Add 9 and 7 to get 16.
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}