Evaluate
\left(-2v+3w-7\right)\left(-2v+6w-7\right)
Expand
4v^{2}-18vw+28v+18w^{2}-63w+49
Share
Copied to clipboard
18w^{2}-6wv-21w-12vw+4v^{2}+14v-42w+14v+49
Apply the distributive property by multiplying each term of 3w-2v-7 by each term of 6w-2v-7.
18w^{2}-18wv-21w+4v^{2}+14v-42w+14v+49
Combine -6wv and -12vw to get -18wv.
18w^{2}-18wv-63w+4v^{2}+14v+14v+49
Combine -21w and -42w to get -63w.
18w^{2}-18wv-63w+4v^{2}+28v+49
Combine 14v and 14v to get 28v.
18w^{2}-6wv-21w-12vw+4v^{2}+14v-42w+14v+49
Apply the distributive property by multiplying each term of 3w-2v-7 by each term of 6w-2v-7.
18w^{2}-18wv-21w+4v^{2}+14v-42w+14v+49
Combine -6wv and -12vw to get -18wv.
18w^{2}-18wv-63w+4v^{2}+14v+14v+49
Combine -21w and -42w to get -63w.
18w^{2}-18wv-63w+4v^{2}+28v+49
Combine 14v and 14v to get 28v.
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}