simplify (6+3i)^2

Solution

simplify

(6 + 3 i)^{2}

27 + 36 i

Solution steps

(6 + 3 i)^{2}

Apply Perfect Square Formula:

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

(6 + 3 i)^{2} = 6^{2} + 2 \cdot 6 \cdot 3 i + (3 i)^{2}

= 6^{2} + 2 \cdot 6 \cdot 3 i + (3 i)^{2}

Simplify

6^{2} + 2 \cdot 6 \cdot 3 i + (3 i)^{2} : 36 i + 27

= 36 i + 27

Rewrite in standard complex form:

27 + 36 i

= 27 + 36 i

\frac{10}{2 5}

- (3 a - 3)

(- 4 x^{4} y^{5})^{5}

\frac{13}{2 - 3 i}

\frac{8 ^{15}}{8 ^{13}}