Evaluate
10x-25y+60
Expand
10x-25y+60
Share
Copied to clipboard
5x+5\left(y-\left(-x+6y-18-3\left(-2-x\right)\right)+3x\right)
Use the distributive property to multiply 6 by y-3.
5x+5\left(y-\left(-x+6y-18+6+3x\right)+3x\right)
Use the distributive property to multiply -3 by -2-x.
5x+5\left(y-\left(-x+6y-12+3x\right)+3x\right)
Add -18 and 6 to get -12.
5x+5\left(y-\left(-x\right)-6y-\left(-12\right)-3x+3x\right)
To find the opposite of -x+6y-12+3x, find the opposite of each term.
5x+5\left(-5y-\left(-x\right)-\left(-12\right)-3x+3x\right)
Combine y and -6y to get -5y.
5x+5\left(-5y-\left(-x\right)+12-3x+3x\right)
The opposite of -12 is 12.
5x+5\left(-5y-\left(-x\right)+12\right)
Combine -3x and 3x to get 0.
5x-25y+5\left(-\left(-x\right)\right)+60
Use the distributive property to multiply 5 by -5y-\left(-x\right)+12.
5x-25y-5\left(-1\right)x+60
Multiply 5 and -1 to get -5.
5x-25y+5x+60
Multiply -5 and -1 to get 5.
10x-25y+60
Combine 5x and 5x to get 10x.
5x+5\left(y-\left(-x+6y-18-3\left(-2-x\right)\right)+3x\right)
Use the distributive property to multiply 6 by y-3.
5x+5\left(y-\left(-x+6y-18+6+3x\right)+3x\right)
Use the distributive property to multiply -3 by -2-x.
5x+5\left(y-\left(-x+6y-12+3x\right)+3x\right)
Add -18 and 6 to get -12.
5x+5\left(y-\left(-x\right)-6y-\left(-12\right)-3x+3x\right)
To find the opposite of -x+6y-12+3x, find the opposite of each term.
5x+5\left(-5y-\left(-x\right)-\left(-12\right)-3x+3x\right)
Combine y and -6y to get -5y.
5x+5\left(-5y-\left(-x\right)+12-3x+3x\right)
The opposite of -12 is 12.
5x+5\left(-5y-\left(-x\right)+12\right)
Combine -3x and 3x to get 0.
5x-25y+5\left(-\left(-x\right)\right)+60
Use the distributive property to multiply 5 by -5y-\left(-x\right)+12.
5x-25y-5\left(-1\right)x+60
Multiply 5 and -1 to get -5.
5x-25y+5x+60
Multiply -5 and -1 to get 5.
10x-25y+60
Combine 5x and 5x to get 10x.
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}