simplify (-5+3i)^2

Solution

simplify

(- 5 + 3 i)^{2}

16 - 30 i

Solution steps

(- 5 + 3 i)^{2}

Apply Perfect Square Formula:

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

(- 5 + 3 i)^{2} = (- 5)^{2} + 2 (- 5) \cdot 3 i + (3 i)^{2}

= (- 5)^{2} + 2 (- 5) \cdot 3 i + (3 i)^{2}

Simplify

(- 5)^{2} + 2 (- 5) \cdot 3 i + (3 i)^{2} : - 30 i + 16

= - 30 i + 16

Rewrite in standard complex form:

16 - 30 i

= 16 - 30 i

(i 3)^{3}

\frac{- ( - 4 )}{2 ( - 1 )}

v^{2} - 16 v + 64

6 x^{2} 80 x + x 45 x^{3}

x^{3} - 6 x^{2} + 9 x - 2