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Popular >

simplify (3+2i)^2

Solution

simplify

(3 + 2 i)^{2}

Solution

5 + 12 i

Solution steps

(3 + 2 i)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

3^{2} + 2 \cdot 3 \cdot 2 i + (2 i)^{2} : 12 i + 5

= 12 i + 5

Rewrite in standard complex form:

5 + 12 i

= 5 + 12 i

Popular Examples

factor 36a^2+84a+49 factor

36 a^{2} + 84 a + 49

5 x^{2} - 180 = 0

7(5x-2)=6(6x-1)

7 (5 x - 2) = 6 (6 x - 1)

simplify 4(5)^{1/2}-6(5)^{3/4}simplify

4 (5)^{\frac{1}{2}} - 6 (5)^{\frac{3}{4}}

simplify 27*5 simplify

27 \cdot 5

Frequently Asked Questions (FAQ)

What is (3+2i)^2 ?
The solution to (3+2i)^2 is 5+12i