Evaluate
-\left(x-3\right)\left(x+6\right)+2y\left(x+1\right)+8b-24x
Expand
18+8b+2y-27x+2xy-x^{2}
Share
Copied to clipboard
-24x+8b+2yx+2y-\left(x+6\right)\left(x-3\right)
Use the distributive property to multiply 2y by x+1.
-24x+8b+2yx+2y-\left(x^{2}-3x+6x-18\right)
Apply the distributive property by multiplying each term of x+6 by each term of x-3.
-24x+8b+2yx+2y-\left(x^{2}+3x-18\right)
Combine -3x and 6x to get 3x.
-24x+8b+2yx+2y-x^{2}-3x-\left(-18\right)
To find the opposite of x^{2}+3x-18, find the opposite of each term.
-24x+8b+2yx+2y-x^{2}-3x+18
The opposite of -18 is 18.
-27x+8b+2yx+2y-x^{2}+18
Combine -24x and -3x to get -27x.
-24x+8b+2yx+2y-\left(x+6\right)\left(x-3\right)
Use the distributive property to multiply 2y by x+1.
-24x+8b+2yx+2y-\left(x^{2}-3x+6x-18\right)
Apply the distributive property by multiplying each term of x+6 by each term of x-3.
-24x+8b+2yx+2y-\left(x^{2}+3x-18\right)
Combine -3x and 6x to get 3x.
-24x+8b+2yx+2y-x^{2}-3x-\left(-18\right)
To find the opposite of x^{2}+3x-18, find the opposite of each term.
-24x+8b+2yx+2y-x^{2}-3x+18
The opposite of -18 is 18.
-27x+8b+2yx+2y-x^{2}+18
Combine -24x and -3x to get -27x.
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}