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Popular >

simplify (7-4i)^2

Solution

simplify

(7 - 4 i)^{2}

Solution

33 - 56 i

Solution steps

(7 - 4 i)^{2}

Apply Perfect Square Formula:

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

(7 - 4 i)^{2} = 7^{2} - 2 \cdot 7 \cdot 4 i + (4 i)^{2}

= 7^{2} - 2 \cdot 7 \cdot 4 i + (4 i)^{2}

Simplify

7^{2} - 2 \cdot 7 \cdot 4 i + (4 i)^{2} : - 56 i + 33

= - 56 i + 33

Rewrite in standard complex form:

33 - 56 i

= 33 - 56 i

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Frequently Asked Questions (FAQ)

What is (7-4i)^2 ?
The solution to (7-4i)^2 is 33-56i