Evaluate
\left(x-3\right)\left(7x+3\right)
Expand
7x^{2}-18x-9
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7x^{2}+2x-21x-6+x-3
Apply the distributive property by multiplying each term of x-3 by each term of 7x+2.
7x^{2}-19x-6+x-3
Combine 2x and -21x to get -19x.
7x^{2}-18x-6-3
Combine -19x and x to get -18x.
7x^{2}-18x-9
Subtract 3 from -6 to get -9.
7x^{2}+2x-21x-6+x-3
Apply the distributive property by multiplying each term of x-3 by each term of 7x+2.
7x^{2}-19x-6+x-3
Combine 2x and -21x to get -19x.
7x^{2}-18x-6-3
Combine -19x and x to get -18x.
7x^{2}-18x-9
Subtract 3 from -6 to get -9.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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}