Evaluate
\left(4-3x\right)\left(3x+5\right)
Expand
20-3x-9x^{2}
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8x+4-6x^{2}-3x+\left(x+4\right)\left(4-3x\right)
Apply the distributive property by multiplying each term of 4-3x by each term of 2x+1.
5x+4-6x^{2}+\left(x+4\right)\left(4-3x\right)
Combine 8x and -3x to get 5x.
5x+4-6x^{2}+4x-3x^{2}+16-12x
Apply the distributive property by multiplying each term of x+4 by each term of 4-3x.
5x+4-6x^{2}-8x-3x^{2}+16
Combine 4x and -12x to get -8x.
-3x+4-6x^{2}-3x^{2}+16
Combine 5x and -8x to get -3x.
-3x+4-9x^{2}+16
Combine -6x^{2} and -3x^{2} to get -9x^{2}.
-3x+20-9x^{2}
Add 4 and 16 to get 20.
8x+4-6x^{2}-3x+\left(x+4\right)\left(4-3x\right)
Apply the distributive property by multiplying each term of 4-3x by each term of 2x+1.
5x+4-6x^{2}+\left(x+4\right)\left(4-3x\right)
Combine 8x and -3x to get 5x.
5x+4-6x^{2}+4x-3x^{2}+16-12x
Apply the distributive property by multiplying each term of x+4 by each term of 4-3x.
5x+4-6x^{2}-8x-3x^{2}+16
Combine 4x and -12x to get -8x.
-3x+4-6x^{2}-3x^{2}+16
Combine 5x and -8x to get -3x.
-3x+4-9x^{2}+16
Combine -6x^{2} and -3x^{2} to get -9x^{2}.
-3x+20-9x^{2}
Add 4 and 16 to get 20.
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}