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17r-4q-26p
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17r-4q-26p
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-18p-3r-\left(4\left(q-3r\right)-\left(5r-\left(8p-3r\right)\right)\right)
Use the distributive property to multiply -3 by 6p+r.
-18p-3r-\left(4q-12r-\left(5r-\left(8p-3r\right)\right)\right)
Use the distributive property to multiply 4 by q-3r.
-18p-3r-\left(4q-12r-\left(5r-8p-\left(-3r\right)\right)\right)
To find the opposite of 8p-3r, find the opposite of each term.
-18p-3r-\left(4q-12r-\left(5r-8p+3r\right)\right)
The opposite of -3r is 3r.
-18p-3r-\left(4q-12r-\left(8r-8p\right)\right)
Combine 5r and 3r to get 8r.
-18p-3r-\left(4q-12r-8r-\left(-8p\right)\right)
To find the opposite of 8r-8p, find the opposite of each term.
-18p-3r-\left(4q-12r-8r+8p\right)
The opposite of -8p is 8p.
-18p-3r-\left(4q-20r+8p\right)
Combine -12r and -8r to get -20r.
-18p-3r-4q-\left(-20r\right)-8p
To find the opposite of 4q-20r+8p, find the opposite of each term.
-18p-3r-4q+20r-8p
The opposite of -20r is 20r.
-18p+17r-4q-8p
Combine -3r and 20r to get 17r.
-26p+17r-4q
Combine -18p and -8p to get -26p.
-18p-3r-\left(4\left(q-3r\right)-\left(5r-\left(8p-3r\right)\right)\right)
Use the distributive property to multiply -3 by 6p+r.
-18p-3r-\left(4q-12r-\left(5r-\left(8p-3r\right)\right)\right)
Use the distributive property to multiply 4 by q-3r.
-18p-3r-\left(4q-12r-\left(5r-8p-\left(-3r\right)\right)\right)
To find the opposite of 8p-3r, find the opposite of each term.
-18p-3r-\left(4q-12r-\left(5r-8p+3r\right)\right)
The opposite of -3r is 3r.
-18p-3r-\left(4q-12r-\left(8r-8p\right)\right)
Combine 5r and 3r to get 8r.
-18p-3r-\left(4q-12r-8r-\left(-8p\right)\right)
To find the opposite of 8r-8p, find the opposite of each term.
-18p-3r-\left(4q-12r-8r+8p\right)
The opposite of -8p is 8p.
-18p-3r-\left(4q-20r+8p\right)
Combine -12r and -8r to get -20r.
-18p-3r-4q-\left(-20r\right)-8p
To find the opposite of 4q-20r+8p, find the opposite of each term.
-18p-3r-4q+20r-8p
The opposite of -20r is 20r.
-18p+17r-4q-8p
Combine -3r and 20r to get 17r.
-26p+17r-4q
Combine -18p and -8p to get -26p.
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}