( 2 a - 3 b ) ( 2 a + 3 b - 4 ( a + 3 b ) - 3 =
Evaluate
-\left(2a-3b\right)\left(2a+9b+3\right)
Expand
9b+27b^{2}-6a-12ab-4a^{2}
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\left(2a-3b\right)\left(2a+3b-4a-12b-3\right)
Use the distributive property to multiply -4 by a+3b.
\left(2a-3b\right)\left(-2a+3b-12b-3\right)
Combine 2a and -4a to get -2a.
\left(2a-3b\right)\left(-2a-9b-3\right)
Combine 3b and -12b to get -9b.
-4a^{2}-18ab-6a+6ba+27b^{2}+9b
Apply the distributive property by multiplying each term of 2a-3b by each term of -2a-9b-3.
-4a^{2}-12ab-6a+27b^{2}+9b
Combine -18ab and 6ba to get -12ab.
\left(2a-3b\right)\left(2a+3b-4a-12b-3\right)
Use the distributive property to multiply -4 by a+3b.
\left(2a-3b\right)\left(-2a+3b-12b-3\right)
Combine 2a and -4a to get -2a.
\left(2a-3b\right)\left(-2a-9b-3\right)
Combine 3b and -12b to get -9b.
-4a^{2}-18ab-6a+6ba+27b^{2}+9b
Apply the distributive property by multiplying each term of 2a-3b by each term of -2a-9b-3.
-4a^{2}-12ab-6a+27b^{2}+9b
Combine -18ab and 6ba to get -12ab.
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
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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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}