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{d ^{2}}{d x ^{2}} ((y) (- x^{2} y^{3} + 4 x y^{2} + 12 x y))

(3 + x 2)^{2}

5^{2}

(z + 6 i)^{2}