Evaluate
\left(x+3\right)\left(9x+2\right)
Expand
9x^{2}+29x+6
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-18x-4-\left(-9x^{2}-2x-45x-10\right)
Apply the distributive property by multiplying each term of x+5 by each term of -9x-2.
-18x-4-\left(-9x^{2}-47x-10\right)
Combine -2x and -45x to get -47x.
-18x-4-\left(-9x^{2}\right)-\left(-47x\right)-\left(-10\right)
To find the opposite of -9x^{2}-47x-10, find the opposite of each term.
-18x-4+9x^{2}-\left(-47x\right)-\left(-10\right)
The opposite of -9x^{2} is 9x^{2}.
-18x-4+9x^{2}+47x-\left(-10\right)
The opposite of -47x is 47x.
-18x-4+9x^{2}+47x+10
The opposite of -10 is 10.
29x-4+9x^{2}+10
Combine -18x and 47x to get 29x.
29x+6+9x^{2}
Add -4 and 10 to get 6.
-18x-4-\left(-9x^{2}-2x-45x-10\right)
Apply the distributive property by multiplying each term of x+5 by each term of -9x-2.
-18x-4-\left(-9x^{2}-47x-10\right)
Combine -2x and -45x to get -47x.
-18x-4-\left(-9x^{2}\right)-\left(-47x\right)-\left(-10\right)
To find the opposite of -9x^{2}-47x-10, find the opposite of each term.
-18x-4+9x^{2}-\left(-47x\right)-\left(-10\right)
The opposite of -9x^{2} is 9x^{2}.
-18x-4+9x^{2}+47x-\left(-10\right)
The opposite of -47x is 47x.
-18x-4+9x^{2}+47x+10
The opposite of -10 is 10.
29x-4+9x^{2}+10
Combine -18x and 47x to get 29x.
29x+6+9x^{2}
Add -4 and 10 to get 6.
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}