Evaluate
2\left(x^{2}-12x+14y-24\right)
Expand
2x^{2}-24x+28y-48
Share
Copied to clipboard
2\left(x^{2}-12x+36\right)+28\left(y-6\right)+48
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-6\right)^{2}.
2x^{2}-24x+72+28\left(y-6\right)+48
Use the distributive property to multiply 2 by x^{2}-12x+36.
2x^{2}-24x+72+28y-168+48
Use the distributive property to multiply 28 by y-6.
2x^{2}-24x-96+28y+48
Subtract 168 from 72 to get -96.
2x^{2}-24x-48+28y
Add -96 and 48 to get -48.
2\left(x^{2}-12x+36\right)+28\left(y-6\right)+48
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-6\right)^{2}.
2x^{2}-24x+72+28\left(y-6\right)+48
Use the distributive property to multiply 2 by x^{2}-12x+36.
2x^{2}-24x+72+28y-168+48
Use the distributive property to multiply 28 by y-6.
2x^{2}-24x-96+28y+48
Subtract 168 from 72 to get -96.
2x^{2}-24x-48+28y
Add -96 and 48 to get -48.
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}