simplify (6+5i)^2

Solution

simplify

(6 + 5 i)^{2}

11 + 60 i

Solution steps

(6 + 5 i)^{2}

Apply Perfect Square Formula:

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

(6 + 5 i)^{2} = 6^{2} + 2 \cdot 6 \cdot 5 i + (5 i)^{2}

= 6^{2} + 2 \cdot 6 \cdot 5 i + (5 i)^{2}

Simplify

6^{2} + 2 \cdot 6 \cdot 5 i + (5 i)^{2} : 60 i + 11

= 60 i + 11

Rewrite in standard complex form:

11 + 60 i

= 11 + 60 i

(6 a^{2} b)^{3} \cdot (\frac{1}{3} ab c)^{2}

4 a^{3} - a^{2} b - 36 a + 9 b

x^{2} + y^{2} + 2 x y

- 14 \geq 7 n

\frac{10 !}{( 10 - 2 ) ! 2 !}