Evaluate
3\left(y-3\right)\left(y+7\right)
Expand
3y^{2}+12y-63
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\frac{6y+42}{2}\left(y-3\right)
Use the distributive property to multiply 6 by y+7.
\frac{\left(6y+42\right)\left(y-3\right)}{2}
Express \frac{6y+42}{2}\left(y-3\right) as a single fraction.
\frac{6y^{2}-18y+42y-126}{2}
Apply the distributive property by multiplying each term of 6y+42 by each term of y-3.
\frac{6y^{2}+24y-126}{2}
Combine -18y and 42y to get 24y.
\frac{6y+42}{2}\left(y-3\right)
Use the distributive property to multiply 6 by y+7.
\frac{\left(6y+42\right)\left(y-3\right)}{2}
Express \frac{6y+42}{2}\left(y-3\right) as a single fraction.
\frac{6y^{2}-18y+42y-126}{2}
Apply the distributive property by multiplying each term of 6y+42 by each term of y-3.
\frac{6y^{2}+24y-126}{2}
Combine -18y and 42y to get 24y.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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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}