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Popular >

simplify (-7+3i)^2

Solution

simplify

(- 7 + 3 i)^{2}

Solution

40 - 42 i

Solution steps

(- 7 + 3 i)^{2}

Apply Perfect Square Formula:

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

(- 7 + 3 i)^{2} = (- 7)^{2} + 2 (- 7) \cdot 3 i + (3 i)^{2}

= (- 7)^{2} + 2 (- 7) \cdot 3 i + (3 i)^{2}

Simplify

(- 7)^{2} + 2 (- 7) \cdot 3 i + (3 i)^{2} : - 42 i + 40

= - 42 i + 40

Rewrite in standard complex form:

40 - 42 i

= 40 - 42 i

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Frequently Asked Questions (FAQ)

What is (-7+3i)^2 ?
The solution to (-7+3i)^2 is 40-42i