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-ad-6a-3d
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-ad-6a-3d
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3-12-9a-\left(a+3\right)\left(d-3\right)
Use the distributive property to multiply -3 by 4+3a.
-9-9a-\left(a+3\right)\left(d-3\right)
Subtract 12 from 3 to get -9.
-9-9a-\left(ad-3a+3d-9\right)
Apply the distributive property by multiplying each term of a+3 by each term of d-3.
-9-9a-ad-\left(-3a\right)-3d-\left(-9\right)
To find the opposite of ad-3a+3d-9, find the opposite of each term.
-9-9a-ad+3a-3d-\left(-9\right)
The opposite of -3a is 3a.
-9-9a-ad+3a-3d+9
The opposite of -9 is 9.
-9-6a-ad-3d+9
Combine -9a and 3a to get -6a.
-6a-ad-3d
Add -9 and 9 to get 0.
3-12-9a-\left(a+3\right)\left(d-3\right)
Use the distributive property to multiply -3 by 4+3a.
-9-9a-\left(a+3\right)\left(d-3\right)
Subtract 12 from 3 to get -9.
-9-9a-\left(ad-3a+3d-9\right)
Apply the distributive property by multiplying each term of a+3 by each term of d-3.
-9-9a-ad-\left(-3a\right)-3d-\left(-9\right)
To find the opposite of ad-3a+3d-9, find the opposite of each term.
-9-9a-ad+3a-3d-\left(-9\right)
The opposite of -3a is 3a.
-9-9a-ad+3a-3d+9
The opposite of -9 is 9.
-9-6a-ad-3d+9
Combine -9a and 3a to get -6a.
-6a-ad-3d
Add -9 and 9 to get 0.
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}