simplify (6+5yi)^2

Solution

simplify

(6 + 5 y i)^{2}

(36 - 25 y^{2}) + 60 y i

Solution steps

(6 + 5 y i)^{2}

Apply Perfect Square Formula:

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

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

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

6^{2} = 36

2 \cdot 6 \cdot 5 y i = 60 y i

(5 y i)^{2} = - 25 y^{2}

= 36 + 60 y i - 25 y^{2}

Rewrite in standard complex form:

(36 - 25 y^{2}) + 60 y i

= (36 - 25 y^{2}) + 60 y i

\frac{- ( 0.5 ) ^{2} + 1}{( 0.5 + 1 ) ^{2}}

(2 x - 4 x^{3}) (7 + x)

5 (5 + z 10)

m (- 5 - 3) B (6.2)