simplify (-5-7i)^2

Solution

simplify

(- 5 - 7 i)^{2}

- 24 + 70 i

Solution steps

(- 5 - 7 i)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

= 70 i - 24

Rewrite in standard complex form:

- 24 + 70 i

= - 24 + 70 i

36 x^{3} y^{9}

\frac{3 + i}{2 - 3 i}

lo g_{10} (6) (36)

- e^{- 1} - e^{- 1}

(2 a^{2} + 3 b)^{2}