simplify (-7+5i)^2

Solution

simplify

(- 7 + 5 i)^{2}

24 - 70 i

Solution steps

(- 7 + 5 i)^{2}

Apply Perfect Square Formula:

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

(- 7 + 5 i)^{2} = (- 7)^{2} + 2 (- 7) \cdot 5 i + (5 i)^{2}

= (- 7)^{2} + 2 (- 7) \cdot 5 i + (5 i)^{2}

Simplify

(- 7)^{2} + 2 (- 7) \cdot 5 i + (5 i)^{2} : - 70 i + 24

= - 70 i + 24

Rewrite in standard complex form:

24 - 70 i

= 24 - 70 i

18 + 52

49 - v^{2}

e \cdot 0

\frac{64 - y ^{2}}{y - 8}

327 \cdot 27