Evaluate
x\left(8x-5y\right)
Expand
8x^{2}-5xy
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2x^{2}+4xy+3x\left(2x-3y\right)
Use the distributive property to multiply 2x by x+2y.
2x^{2}+4xy+6x^{2}-9xy
Use the distributive property to multiply 3x by 2x-3y.
8x^{2}+4xy-9xy
Combine 2x^{2} and 6x^{2} to get 8x^{2}.
8x^{2}-5xy
Combine 4xy and -9xy to get -5xy.
2x^{2}+4xy+3x\left(2x-3y\right)
Use the distributive property to multiply 2x by x+2y.
2x^{2}+4xy+6x^{2}-9xy
Use the distributive property to multiply 3x by 2x-3y.
8x^{2}+4xy-9xy
Combine 2x^{2} and 6x^{2} to get 8x^{2}.
8x^{2}-5xy
Combine 4xy and -9xy to get -5xy.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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}