4(-5(2(3-4)+7(42-43+2)+3(15-17)-3(12-14)+7)-3(21(39-39)-2=
Evaluate
-216
Factor
-216
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4\left(-5\left(2\left(-1\right)+7\left(42-43+2\right)+3\left(15-17\right)-3\left(12-14\right)+7\right)-3\left(21\left(39-39\right)-2\right)\right)
Subtract 4 from 3 to get -1.
4\left(-5\left(-2+7\left(42-43+2\right)+3\left(15-17\right)-3\left(12-14\right)+7\right)-3\left(21\left(39-39\right)-2\right)\right)
Multiply 2 and -1 to get -2.
4\left(-5\left(-2+7\left(-1+2\right)+3\left(15-17\right)-3\left(12-14\right)+7\right)-3\left(21\left(39-39\right)-2\right)\right)
Subtract 43 from 42 to get -1.
4\left(-5\left(-2+7+3\left(15-17\right)-3\left(12-14\right)+7\right)-3\left(21\left(39-39\right)-2\right)\right)
Add -1 and 2 to get 1.
4\left(-5\left(5+3\left(15-17\right)-3\left(12-14\right)+7\right)-3\left(21\left(39-39\right)-2\right)\right)
Add -2 and 7 to get 5.
4\left(-5\left(5+3\left(-2\right)-3\left(12-14\right)+7\right)-3\left(21\left(39-39\right)-2\right)\right)
Subtract 17 from 15 to get -2.
4\left(-5\left(5-6-3\left(12-14\right)+7\right)-3\left(21\left(39-39\right)-2\right)\right)
Multiply 3 and -2 to get -6.
4\left(-5\left(-1-3\left(12-14\right)+7\right)-3\left(21\left(39-39\right)-2\right)\right)
Subtract 6 from 5 to get -1.
4\left(-5\left(-1-3\left(-2\right)+7\right)-3\left(21\left(39-39\right)-2\right)\right)
Subtract 14 from 12 to get -2.
4\left(-5\left(-1-\left(-6\right)+7\right)-3\left(21\left(39-39\right)-2\right)\right)
Multiply 3 and -2 to get -6.
4\left(-5\left(-1+6+7\right)-3\left(21\left(39-39\right)-2\right)\right)
The opposite of -6 is 6.
4\left(-5\left(5+7\right)-3\left(21\left(39-39\right)-2\right)\right)
Add -1 and 6 to get 5.
4\left(-5\times 12-3\left(21\left(39-39\right)-2\right)\right)
Add 5 and 7 to get 12.
4\left(-60-3\left(21\left(39-39\right)-2\right)\right)
Multiply -5 and 12 to get -60.
4\left(-60-3\left(21\times 0-2\right)\right)
Subtract 39 from 39 to get 0.
4\left(-60-3\left(0-2\right)\right)
Multiply 21 and 0 to get 0.
4\left(-60-3\left(-2\right)\right)
Subtract 2 from 0 to get -2.
4\left(-60-\left(-6\right)\right)
Multiply 3 and -2 to get -6.
4\left(-60+6\right)
The opposite of -6 is 6.
4\left(-54\right)
Add -60 and 6 to get -54.
-216
Multiply 4 and -54 to get -216.
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}