Evaluate
\left(x+3y\right)\left(5x+y\right)-x-y
Expand
5x^{2}+16xy-x+3y^{2}-y
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5x^{2}+15xy+yx+3y^{2}-\left(x+y\right)
Apply the distributive property by multiplying each term of 5x+y by each term of x+3y.
5x^{2}+16xy+3y^{2}-\left(x+y\right)
Combine 15xy and yx to get 16xy.
5x^{2}+16xy+3y^{2}-x-y
To find the opposite of x+y, find the opposite of each term.
5x^{2}+15xy+yx+3y^{2}-\left(x+y\right)
Apply the distributive property by multiplying each term of 5x+y by each term of x+3y.
5x^{2}+16xy+3y^{2}-\left(x+y\right)
Combine 15xy and yx to get 16xy.
5x^{2}+16xy+3y^{2}-x-y
To find the opposite of x+y, find the opposite of each term.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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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