Evaluate
\left(x-3\right)\left(2x+3\right)
Expand
2x^{2}-3x-9
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x^{2}+7x-3x-21+\left(x-3\right)\left(x-4\right)
Apply the distributive property by multiplying each term of x-3 by each term of x+7.
x^{2}+4x-21+\left(x-3\right)\left(x-4\right)
Combine 7x and -3x to get 4x.
x^{2}+4x-21+x^{2}-4x-3x+12
Apply the distributive property by multiplying each term of x-3 by each term of x-4.
x^{2}+4x-21+x^{2}-7x+12
Combine -4x and -3x to get -7x.
2x^{2}+4x-21-7x+12
Combine x^{2} and x^{2} to get 2x^{2}.
2x^{2}-3x-21+12
Combine 4x and -7x to get -3x.
2x^{2}-3x-9
Add -21 and 12 to get -9.
x^{2}+7x-3x-21+\left(x-3\right)\left(x-4\right)
Apply the distributive property by multiplying each term of x-3 by each term of x+7.
x^{2}+4x-21+\left(x-3\right)\left(x-4\right)
Combine 7x and -3x to get 4x.
x^{2}+4x-21+x^{2}-4x-3x+12
Apply the distributive property by multiplying each term of x-3 by each term of x-4.
x^{2}+4x-21+x^{2}-7x+12
Combine -4x and -3x to get -7x.
2x^{2}+4x-21-7x+12
Combine x^{2} and x^{2} to get 2x^{2}.
2x^{2}-3x-21+12
Combine 4x and -7x to get -3x.
2x^{2}-3x-9
Add -21 and 12 to get -9.
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}