simplify (5x+6i)^2

Solution

simplify

(5 x + 6 i)^{2}

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

Solution steps

(5 x + 6 i)^{2}

Apply Perfect Square Formula:

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

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

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

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

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

(6 i)^{2} = - 36

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

Rewrite in standard complex form:

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

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

(- 6, 4) y (5, - 2)

lo g_{10} (x y^{7} z^{3})

\frac{( x + 1 ) ^{2}}{x ^{2} + 1}

(sec^{2} (x) + csc^{2} (x)) cos^{2} (x)

\frac{x ^{2} - 2 x + 1}{x ( x ^{2} + 25 )}