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24+20b-12a
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24+20b-12a
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-6\left(-a\right)+18b+24+2\left(b-9a\right)
Use the distributive property to multiply -6 by -a-3b-4.
6a+18b+24+2\left(b-9a\right)
Multiply -6 and -1 to get 6.
6a+18b+24+2b-18a
Use the distributive property to multiply 2 by b-9a.
6a+20b+24-18a
Combine 18b and 2b to get 20b.
-12a+20b+24
Combine 6a and -18a to get -12a.
-6\left(-a\right)+18b+24+2\left(b-9a\right)
Use the distributive property to multiply -6 by -a-3b-4.
6a+18b+24+2\left(b-9a\right)
Multiply -6 and -1 to get 6.
6a+18b+24+2b-18a
Use the distributive property to multiply 2 by b-9a.
6a+20b+24-18a
Combine 18b and 2b to get 20b.
-12a+20b+24
Combine 6a and -18a to get -12a.
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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}