simplify (5y-6i)^2

Solution

simplify

(5 y - 6 i)^{2}

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

Solution steps

(5 y - 6 i)^{2}

Apply Perfect Square Formula:

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

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

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

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

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

(6 i)^{2} = - 36

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

Rewrite in standard complex form:

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

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

\frac{38.8}{( x ^{2} + 4 ) \cdot ( x + 5.2 )}

(6 z - 5 i)^{2}

- \frac{4}{( s + 2 ) ( s ^{2} + 4 s + 8 )}

(x + 4 - 2) (x - 4 + 2)