Evaluate
-\left(x+3\right)\left(x^{2}-2x+169\right)
Expand
-x^{3}-x^{2}-163x-507
Graph
Quiz
Polynomial
5 problems similar to:
= ( 3 - x ) ( - 1 - x ) ( - 3 - x ) - [ 43 ( - 4 ) ( - 3 - x ) ]
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\left(-3-3x+x+x^{2}\right)\left(-3-x\right)-43\left(-4\right)\left(-3-x\right)
Apply the distributive property by multiplying each term of 3-x by each term of -1-x.
\left(-3-2x+x^{2}\right)\left(-3-x\right)-43\left(-4\right)\left(-3-x\right)
Combine -3x and x to get -2x.
9+3x+6x+2x^{2}-3x^{2}-x^{3}-43\left(-4\right)\left(-3-x\right)
Apply the distributive property by multiplying each term of -3-2x+x^{2} by each term of -3-x.
9+9x+2x^{2}-3x^{2}-x^{3}-43\left(-4\right)\left(-3-x\right)
Combine 3x and 6x to get 9x.
9+9x-x^{2}-x^{3}-43\left(-4\right)\left(-3-x\right)
Combine 2x^{2} and -3x^{2} to get -x^{2}.
9+9x-x^{2}-x^{3}-\left(-172\left(-3-x\right)\right)
Multiply 43 and -4 to get -172.
9+9x-x^{2}-x^{3}+172\left(-3-x\right)
The opposite of -172\left(-3-x\right) is 172\left(-3-x\right).
9+9x-x^{2}-x^{3}-516-172x
Use the distributive property to multiply 172 by -3-x.
-507+9x-x^{2}-x^{3}-172x
Subtract 516 from 9 to get -507.
-507-163x-x^{2}-x^{3}
Combine 9x and -172x to get -163x.
\left(-3-3x+x+x^{2}\right)\left(-3-x\right)-43\left(-4\right)\left(-3-x\right)
Apply the distributive property by multiplying each term of 3-x by each term of -1-x.
\left(-3-2x+x^{2}\right)\left(-3-x\right)-43\left(-4\right)\left(-3-x\right)
Combine -3x and x to get -2x.
9+3x+6x+2x^{2}-3x^{2}-x^{3}-43\left(-4\right)\left(-3-x\right)
Apply the distributive property by multiplying each term of -3-2x+x^{2} by each term of -3-x.
9+9x+2x^{2}-3x^{2}-x^{3}-43\left(-4\right)\left(-3-x\right)
Combine 3x and 6x to get 9x.
9+9x-x^{2}-x^{3}-43\left(-4\right)\left(-3-x\right)
Combine 2x^{2} and -3x^{2} to get -x^{2}.
9+9x-x^{2}-x^{3}-\left(-172\left(-3-x\right)\right)
Multiply 43 and -4 to get -172.
9+9x-x^{2}-x^{3}+172\left(-3-x\right)
The opposite of -172\left(-3-x\right) is 172\left(-3-x\right).
9+9x-x^{2}-x^{3}-516-172x
Use the distributive property to multiply 172 by -3-x.
-507+9x-x^{2}-x^{3}-172x
Subtract 516 from 9 to get -507.
-507-163x-x^{2}-x^{3}
Combine 9x and -172x to get -163x.
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}