Evaluate
-22x^{2}-8y^{2}
Expand
-22x^{2}-8y^{2}
Share
Copied to clipboard
10\left(-x^{2}\right)+40y^{2}-12\left(4y^{2}+x^{2}\right)
Use the distributive property to multiply 10 by -x^{2}+4y^{2}.
10\left(-x^{2}\right)+40y^{2}-48y^{2}-12x^{2}
Use the distributive property to multiply -12 by 4y^{2}+x^{2}.
10\left(-x^{2}\right)-8y^{2}-12x^{2}
Combine 40y^{2} and -48y^{2} to get -8y^{2}.
-10x^{2}-8y^{2}-12x^{2}
Multiply 10 and -1 to get -10.
-22x^{2}-8y^{2}
Combine -10x^{2} and -12x^{2} to get -22x^{2}.
10\left(-x^{2}\right)+40y^{2}-12\left(4y^{2}+x^{2}\right)
Use the distributive property to multiply 10 by -x^{2}+4y^{2}.
10\left(-x^{2}\right)+40y^{2}-48y^{2}-12x^{2}
Use the distributive property to multiply -12 by 4y^{2}+x^{2}.
10\left(-x^{2}\right)-8y^{2}-12x^{2}
Combine 40y^{2} and -48y^{2} to get -8y^{2}.
-10x^{2}-8y^{2}-12x^{2}
Multiply 10 and -1 to get -10.
-22x^{2}-8y^{2}
Combine -10x^{2} and -12x^{2} to get -22x^{2}.
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}