Evaluate
\left(a-ib\right)\left(a+b\right)
Expand
a^{2}+\left(1-i\right)ab-ib^{2}
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a\left(a-ib\right)+b\left(a-ib\right)
Use the distributive property to multiply a+b by a-ib.
a^{2}-iab+b\left(a-ib\right)
Use the distributive property to multiply a by a-ib.
a^{2}-iab+ba-ib^{2}
Use the distributive property to multiply b by a-ib.
a^{2}+\left(1-i\right)ab-ib^{2}
Combine -iab and ba to get \left(1-i\right)ab.
a\left(a-ib\right)+b\left(a-ib\right)
Use the distributive property to multiply a+b by a-ib.
a^{2}-iab+b\left(a-ib\right)
Use the distributive property to multiply a by a-ib.
a^{2}-iab+ba-ib^{2}
Use the distributive property to multiply b by a-ib.
a^{2}+\left(1-i\right)ab-ib^{2}
Combine -iab and ba to get \left(1-i\right)ab.
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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\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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