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29q-21p
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29q-21p
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18p+24q-8\left(5p-q\right)+p-3q
Use the distributive property to multiply 6 by 3p+4q.
18p+24q-40p+8q+p-3q
Use the distributive property to multiply -8 by 5p-q.
-22p+24q+8q+p-3q
Combine 18p and -40p to get -22p.
-22p+32q+p-3q
Combine 24q and 8q to get 32q.
-21p+32q-3q
Combine -22p and p to get -21p.
-21p+29q
Combine 32q and -3q to get 29q.
18p+24q-8\left(5p-q\right)+p-3q
Use the distributive property to multiply 6 by 3p+4q.
18p+24q-40p+8q+p-3q
Use the distributive property to multiply -8 by 5p-q.
-22p+24q+8q+p-3q
Combine 18p and -40p to get -22p.
-22p+32q+p-3q
Combine 24q and 8q to get 32q.
-21p+32q-3q
Combine -22p and p to get -21p.
-21p+29q
Combine 32q and -3q to get 29q.
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}