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Popular >

simplify (-4+3i)^2

Solution

simplify

(- 4 + 3 i)^{2}

Solution

7 - 24 i

Solution steps

(- 4 + 3 i)^{2}

Apply Perfect Square Formula:

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

(- 4 + 3 i)^{2} = (- 4)^{2} + 2 (- 4) \cdot 3 i + (3 i)^{2}

= (- 4)^{2} + 2 (- 4) \cdot 3 i + (3 i)^{2}

Simplify

(- 4)^{2} + 2 (- 4) \cdot 3 i + (3 i)^{2} : - 24 i + 7

= - 24 i + 7

Rewrite in standard complex form:

7 - 24 i

= 7 - 24 i

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Frequently Asked Questions (FAQ)

What is (-4+3i)^2 ?
The solution to (-4+3i)^2 is 7-24i