What is (8-3i)-(8-3i)(8+8i) ?

The solution to (8-3i)-(8-3i)(8+8i) is -80-43i

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simplify (8-3i)-(8-3i)(8+8i)

simplify

(8 - 3 i) - (8 - 3 i) (8 + 8 i)

- 80 - 43 i

Solution steps

(8 - 3 i) - (8 - 3 i) (8 + 8 i)

Apply rule:

(a) = a

(8 - 3 i) = 8 - 3 i

= 8 - 3 i - (8 - 3 i) (8 + 8 i)

(8 - 3 i) (8 + 8 i) = 88 + 40 i

= 8 - 3 i - 88 + 40 i

Expand

- (88 + 40 i) : - 88 - 40 i

= 8 - 3 i - 88 - 40 i

Group like terms

= - 3 i - 40 i + 8 - 88

Add similar elements:

- 3 i - 40 i = - 43 i

= - 43 i + 8 - 88

Subtract the numbers:

8 - 88 = - 80

= - 43 i - 80

Rewrite in standard complex form:

- 80 - 43 i

= - 80 - 43 i

\frac{( x ^{- 3} y ^{4} ) ^{3}}{( - 3 x ^{2} y ^{- 2} ) ^{2}}

25 \cdot \frac{1}{2}

- 1^{15}

\frac{48}{49}

e^{2 x} \cdot (- e^{- x})