Evaluate
2\left(x+y\right)^{2}+5x+7y
Expand
2x^{2}+4xy+5x+2y^{2}+7y
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2\left(x^{2}+2xy+y^{2}\right)+5\left(x+y\right)+2y
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+y\right)^{2}.
2x^{2}+4xy+2y^{2}+5\left(x+y\right)+2y
Use the distributive property to multiply 2 by x^{2}+2xy+y^{2}.
2x^{2}+4xy+2y^{2}+5x+5y+2y
Use the distributive property to multiply 5 by x+y.
2x^{2}+4xy+2y^{2}+5x+7y
Combine 5y and 2y to get 7y.
2\left(x^{2}+2xy+y^{2}\right)+5\left(x+y\right)+2y
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+y\right)^{2}.
2x^{2}+4xy+2y^{2}+5\left(x+y\right)+2y
Use the distributive property to multiply 2 by x^{2}+2xy+y^{2}.
2x^{2}+4xy+2y^{2}+5x+5y+2y
Use the distributive property to multiply 5 by x+y.
2x^{2}+4xy+2y^{2}+5x+7y
Combine 5y and 2y to get 7y.
Examples
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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
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