Evaluate
\left(2a-3b\right)\left(3a-2b\right)
Expand
6a^{2}-13ab+6b^{2}
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6a^{2}-4ab-9ba+6b^{2}
Apply the distributive property by multiplying each term of 2a-3b by each term of 3a-2b.
6a^{2}-13ab+6b^{2}
Combine -4ab and -9ba to get -13ab.
6a^{2}-4ab-9ba+6b^{2}
Apply the distributive property by multiplying each term of 2a-3b by each term of 3a-2b.
6a^{2}-13ab+6b^{2}
Combine -4ab and -9ba to get -13ab.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
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
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