Evaluate
\left(x+2\right)\left(x+9\right)
Expand
x^{2}+11x+18
Graph
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x^{2}+4x+4+7\left(x+2\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+2\right)^{2}.
x^{2}+4x+4+7x+14
Use the distributive property to multiply 7 by x+2.
x^{2}+11x+4+14
Combine 4x and 7x to get 11x.
x^{2}+11x+18
Add 4 and 14 to get 18.
x^{2}+4x+4+7\left(x+2\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+2\right)^{2}.
x^{2}+4x+4+7x+14
Use the distributive property to multiply 7 by x+2.
x^{2}+11x+4+14
Combine 4x and 7x to get 11x.
x^{2}+11x+18
Add 4 and 14 to get 18.
Examples
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y = 3x + 4
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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
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Limits
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