Evaluate
2\left(3v+7w-4\right)\left(2v+3w+1\right)
Expand
12v^{2}+46vw-10v+42w^{2}-10w-8
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12v^{2}+18vw+6v+28wv+42w^{2}+14w-16v-24w-8
Apply the distributive property by multiplying each term of 3v+7w-4 by each term of 4v+6w+2.
12v^{2}+46vw+6v+42w^{2}+14w-16v-24w-8
Combine 18vw and 28wv to get 46vw.
12v^{2}+46vw-10v+42w^{2}+14w-24w-8
Combine 6v and -16v to get -10v.
12v^{2}+46vw-10v+42w^{2}-10w-8
Combine 14w and -24w to get -10w.
12v^{2}+18vw+6v+28wv+42w^{2}+14w-16v-24w-8
Apply the distributive property by multiplying each term of 3v+7w-4 by each term of 4v+6w+2.
12v^{2}+46vw+6v+42w^{2}+14w-16v-24w-8
Combine 18vw and 28wv to get 46vw.
12v^{2}+46vw-10v+42w^{2}+14w-24w-8
Combine 6v and -16v to get -10v.
12v^{2}+46vw-10v+42w^{2}-10w-8
Combine 14w and -24w to get -10w.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
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Matrix
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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}