simplify (5-9i)^2

Solution

simplify

(5 - 9 i)^{2}

- 56 - 90 i

Solution steps

(5 - 9 i)^{2}

Apply Perfect Square Formula:

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

(5 - 9 i)^{2} = 5^{2} - 2 \cdot 5 \cdot 9 i + (9 i)^{2}

= 5^{2} - 2 \cdot 5 \cdot 9 i + (9 i)^{2}

Simplify

5^{2} - 2 \cdot 5 \cdot 9 i + (9 i)^{2} : - 90 i - 56

= - 90 i - 56

Rewrite in standard complex form:

- 56 - 90 i

= - 56 - 90 i

(- 5 + 4 i) - (- 5 + 3 i)

- m + n + m + n

\frac{x ^{2} - 16}{x ^{2} + 8 x + 16}

5 x + 3 x

\frac{( x ^{3} - 1 )}{( x - 1 )}