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Popular >

simplify (-6+i)^2

Solution

simplify

(- 6 + i)^{2}

Solution

35 - 12 i

Solution steps

(- 6 + i)^{2}

Apply Perfect Square Formula:

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

(- 6 + i)^{2} = (- 6)^{2} + 2 (- 6) i + i^{2}

= (- 6)^{2} + 2 (- 6) i + i^{2}

Simplify

(- 6)^{2} + 2 (- 6) i + i^{2} : - 12 i + 35

= - 12 i + 35

Rewrite in standard complex form:

35 - 12 i

= 35 - 12 i

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Frequently Asked Questions (FAQ)

What is (-6+i)^2 ?
The solution to (-6+i)^2 is 35-12i