Evaluate
4y+6x-17xy
Expand
4y+6x-17xy
Share
Copied to clipboard
6x\left(-2y+1\right)-\left(-y\right)\left(4-5x\right)
Multiply -2 and -3 to get 6.
-12xy+6x-\left(-y\right)\left(4-5x\right)
Use the distributive property to multiply 6x by -2y+1.
-12xy+6x-\left(4\left(-y\right)-5\left(-y\right)x\right)
Use the distributive property to multiply -y by 4-5x.
-12xy+6x-\left(4\left(-y\right)+5yx\right)
Multiply -5 and -1 to get 5.
-12xy+6x-4\left(-y\right)-5yx
To find the opposite of 4\left(-y\right)+5yx, find the opposite of each term.
-12xy+6x+4y-5yx
Multiply -4 and -1 to get 4.
-17xy+6x+4y
Combine -12xy and -5yx to get -17xy.
6x\left(-2y+1\right)-\left(-y\right)\left(4-5x\right)
Multiply -2 and -3 to get 6.
-12xy+6x-\left(-y\right)\left(4-5x\right)
Use the distributive property to multiply 6x by -2y+1.
-12xy+6x-\left(4\left(-y\right)-5\left(-y\right)x\right)
Use the distributive property to multiply -y by 4-5x.
-12xy+6x-\left(4\left(-y\right)+5yx\right)
Multiply -5 and -1 to get 5.
-12xy+6x-4\left(-y\right)-5yx
To find the opposite of 4\left(-y\right)+5yx, find the opposite of each term.
-12xy+6x+4y-5yx
Multiply -4 and -1 to get 4.
-17xy+6x+4y
Combine -12xy and -5yx to get -17xy.
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}