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Popular >

simplify (8-5i)^2

Solution

simplify

(8 - 5 i)^{2}

Solution

39 - 80 i

Solution steps

(8 - 5 i)^{2}

Apply Perfect Square Formula:

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

(8 - 5 i)^{2} = 8^{2} - 2 \cdot 8 \cdot 5 i + (5 i)^{2}

= 8^{2} - 2 \cdot 8 \cdot 5 i + (5 i)^{2}

Simplify

8^{2} - 2 \cdot 8 \cdot 5 i + (5 i)^{2} : - 80 i + 39

= - 80 i + 39

Rewrite in standard complex form:

39 - 80 i

= 39 - 80 i

Popular Examples

f(k)=(28-7k^2)/(k^2-4)

f (k) = \frac{28 - 7 k ^{2}}{k ^{2} - 4}

simplify (x^{-2})^3 simplify

(x^{- 2})^{3}

simplify sqrt(4/9)simplify

\frac{4}{9}

x^{2} + 2 x + 1 < x^{2} + 8

15 = 8 x^{2} - 14 x

Frequently Asked Questions (FAQ)

What is (8-5i)^2 ?
The solution to (8-5i)^2 is 39-80i