Evaluate
-4x^{2}-2y^{2}
Expand
-4x^{2}-2y^{2}
Share
Copied to clipboard
2x^{2}-2y^{2}-3\left(x^{2}-\left(y^{2}-x^{2}+x^{2}-y^{2}-x^{2}\right)\right)
Use the distributive property to multiply 2 by x^{2}-y^{2}.
2x^{2}-2y^{2}-3\left(x^{2}-\left(y^{2}-y^{2}-x^{2}\right)\right)
Combine -x^{2} and x^{2} to get 0.
2x^{2}-2y^{2}-3\left(x^{2}-\left(-x^{2}\right)\right)
Combine y^{2} and -y^{2} to get 0.
2x^{2}-2y^{2}-3\left(x^{2}+x^{2}\right)
The opposite of -x^{2} is x^{2}.
2x^{2}-2y^{2}-3\times 2x^{2}
Combine x^{2} and x^{2} to get 2x^{2}.
2x^{2}-2y^{2}-6x^{2}
Multiply 3 and 2 to get 6.
-4x^{2}-2y^{2}
Combine 2x^{2} and -6x^{2} to get -4x^{2}.
2x^{2}-2y^{2}-3\left(x^{2}-\left(y^{2}-x^{2}+x^{2}-y^{2}-x^{2}\right)\right)
Use the distributive property to multiply 2 by x^{2}-y^{2}.
2x^{2}-2y^{2}-3\left(x^{2}-\left(y^{2}-y^{2}-x^{2}\right)\right)
Combine -x^{2} and x^{2} to get 0.
2x^{2}-2y^{2}-3\left(x^{2}-\left(-x^{2}\right)\right)
Combine y^{2} and -y^{2} to get 0.
2x^{2}-2y^{2}-3\left(x^{2}+x^{2}\right)
The opposite of -x^{2} is x^{2}.
2x^{2}-2y^{2}-3\times 2x^{2}
Combine x^{2} and x^{2} to get 2x^{2}.
2x^{2}-2y^{2}-6x^{2}
Multiply 3 and 2 to get 6.
-4x^{2}-2y^{2}
Combine 2x^{2} and -6x^{2} to get -4x^{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}