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Popular >

simplify (a-bi)(a+bi)

Solution

simplify

(a - bi) (a + bi)

Solution

a^{2} + b^{2}

Solution steps

(a - bi) (a + bi)

Apply complex arithmetic rule:

(a + bi) (a - bi) = a^{2} + b^{2}

= a^{2} + (- b)^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

if

n

is even

(- b)^{2} = b^{2}

= a^{2} + b^{2}

Popular Examples

simplify ((-1)^1)/1 simplify

\frac{( - 1 ) ^{1}}{1}

expand y^4(6-y)(5+y)expand

y^{4} (6 - y) (5 + y)

1 \frac{11}{16}

simplify x^2+2/3 x+1/9 simplify

x^{2} + \frac{2}{3} x + \frac{1}{9}

simplify 4+(-11)simplify

4 + (- 11)

Frequently Asked Questions (FAQ)

What is (a-bi)(a+bi) ?
The solution to (a-bi)(a+bi) is a^2+b^2