Evaluate
\left(x+y+2\right)\left(5x+5y+8\right)
Expand
5x^{2}+10xy+18x+5y^{2}+18y+16
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5\left(x^{2}+2xy+y^{2}\right)+18\left(x+y\right)+16
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+y\right)^{2}.
5x^{2}+10xy+5y^{2}+18\left(x+y\right)+16
Use the distributive property to multiply 5 by x^{2}+2xy+y^{2}.
5x^{2}+10xy+5y^{2}+18x+18y+16
Use the distributive property to multiply 18 by x+y.
5\left(x^{2}+2xy+y^{2}\right)+18\left(x+y\right)+16
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+y\right)^{2}.
5x^{2}+10xy+5y^{2}+18\left(x+y\right)+16
Use the distributive property to multiply 5 by x^{2}+2xy+y^{2}.
5x^{2}+10xy+5y^{2}+18x+18y+16
Use the distributive property to multiply 18 by x+y.
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{ x } ^ { 2 } - 4 x - 5 = 0
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\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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