Expand
a^{2}+2ab+9a+b^{2}+9b-36
Evaluate
\left(a+b-3\right)\left(a+b+12\right)
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a^{2}+ab+12a+ba+b^{2}+12b-3a-3b-36
Apply the distributive property by multiplying each term of a+b-3 by each term of a+b+12.
a^{2}+2ab+12a+b^{2}+12b-3a-3b-36
Combine ab and ba to get 2ab.
a^{2}+2ab+9a+b^{2}+12b-3b-36
Combine 12a and -3a to get 9a.
a^{2}+2ab+9a+b^{2}+9b-36
Combine 12b and -3b to get 9b.
a^{2}+ab+12a+ba+b^{2}+12b-3a-3b-36
Apply the distributive property by multiplying each term of a+b-3 by each term of a+b+12.
a^{2}+2ab+12a+b^{2}+12b-3a-3b-36
Combine ab and ba to get 2ab.
a^{2}+2ab+9a+b^{2}+12b-3b-36
Combine 12a and -3a to get 9a.
a^{2}+2ab+9a+b^{2}+9b-36
Combine 12b and -3b to get 9b.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Matrix
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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
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