Evaluate
-16x^{2}-9y^{2}
Expand
-16x^{2}-9y^{2}
Share
Copied to clipboard
-8x^{2}-12xy-3y\left(-4x+y\right)-2\left(4x^{2}+3y^{2}\right)
Use the distributive property to multiply -4x by 2x+3y.
-8x^{2}-12xy-3y\left(-4x+y\right)-8x^{2}-6y^{2}
Use the distributive property to multiply -2 by 4x^{2}+3y^{2}.
-8x^{2}-12xy+12yx-3y^{2}-8x^{2}-6y^{2}
Use the distributive property to multiply -3y by -4x+y.
-8x^{2}-3y^{2}-8x^{2}-6y^{2}
Combine -12xy and 12yx to get 0.
-16x^{2}-3y^{2}-6y^{2}
Combine -8x^{2} and -8x^{2} to get -16x^{2}.
-16x^{2}-9y^{2}
Combine -3y^{2} and -6y^{2} to get -9y^{2}.
-8x^{2}-12xy-3y\left(-4x+y\right)-2\left(4x^{2}+3y^{2}\right)
Use the distributive property to multiply -4x by 2x+3y.
-8x^{2}-12xy-3y\left(-4x+y\right)-8x^{2}-6y^{2}
Use the distributive property to multiply -2 by 4x^{2}+3y^{2}.
-8x^{2}-12xy+12yx-3y^{2}-8x^{2}-6y^{2}
Use the distributive property to multiply -3y by -4x+y.
-8x^{2}-3y^{2}-8x^{2}-6y^{2}
Combine -12xy and 12yx to get 0.
-16x^{2}-3y^{2}-6y^{2}
Combine -8x^{2} and -8x^{2} to get -16x^{2}.
-16x^{2}-9y^{2}
Combine -3y^{2} and -6y^{2} to get -9y^{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}