Evaluate
-\left(3x-5\right)\left(x+8\right)
Expand
40-19x-3x^{2}
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\left(-3x-24\right)\left(x-\frac{5}{3}\right)
Use the distributive property to multiply -3 by x+8.
-3x^{2}-3x\left(-\frac{5}{3}\right)-24x-24\left(-\frac{5}{3}\right)
Apply the distributive property by multiplying each term of -3x-24 by each term of x-\frac{5}{3}.
-3x^{2}+5x-24x-24\left(-\frac{5}{3}\right)
Multiply -3 times -\frac{5}{3}.
-3x^{2}-19x-24\left(-\frac{5}{3}\right)
Combine 5x and -24x to get -19x.
-3x^{2}-19x+\frac{-24\left(-5\right)}{3}
Express -24\left(-\frac{5}{3}\right) as a single fraction.
-3x^{2}-19x+\frac{120}{3}
Multiply -24 and -5 to get 120.
-3x^{2}-19x+40
Divide 120 by 3 to get 40.
\left(-3x-24\right)\left(x-\frac{5}{3}\right)
Use the distributive property to multiply -3 by x+8.
-3x^{2}-3x\left(-\frac{5}{3}\right)-24x-24\left(-\frac{5}{3}\right)
Apply the distributive property by multiplying each term of -3x-24 by each term of x-\frac{5}{3}.
-3x^{2}+5x-24x-24\left(-\frac{5}{3}\right)
Multiply -3 times -\frac{5}{3}.
-3x^{2}-19x-24\left(-\frac{5}{3}\right)
Combine 5x and -24x to get -19x.
-3x^{2}-19x+\frac{-24\left(-5\right)}{3}
Express -24\left(-\frac{5}{3}\right) as a single fraction.
-3x^{2}-19x+\frac{120}{3}
Multiply -24 and -5 to get 120.
-3x^{2}-19x+40
Divide 120 by 3 to get 40.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}