Evaluate
\left(3-7x\right)\left(3x-1\right)
Expand
-21x^{2}+16x-3
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15x-5-\left(21x^{2}-7x+6x-2\right)
Apply the distributive property by multiplying each term of 7x+2 by each term of 3x-1.
15x-5-\left(21x^{2}-x-2\right)
Combine -7x and 6x to get -x.
15x-5-21x^{2}-\left(-x\right)-\left(-2\right)
To find the opposite of 21x^{2}-x-2, find the opposite of each term.
15x-5-21x^{2}+x-\left(-2\right)
The opposite of -x is x.
15x-5-21x^{2}+x+2
The opposite of -2 is 2.
16x-5-21x^{2}+2
Combine 15x and x to get 16x.
16x-3-21x^{2}
Add -5 and 2 to get -3.
15x-5-\left(21x^{2}-7x+6x-2\right)
Apply the distributive property by multiplying each term of 7x+2 by each term of 3x-1.
15x-5-\left(21x^{2}-x-2\right)
Combine -7x and 6x to get -x.
15x-5-21x^{2}-\left(-x\right)-\left(-2\right)
To find the opposite of 21x^{2}-x-2, find the opposite of each term.
15x-5-21x^{2}+x-\left(-2\right)
The opposite of -x is x.
15x-5-21x^{2}+x+2
The opposite of -2 is 2.
16x-5-21x^{2}+2
Combine 15x and x to get 16x.
16x-3-21x^{2}
Add -5 and 2 to get -3.
Examples
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{ 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}