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Popular >

simplify (7-2i)^2

Solution

simplify

(7 - 2 i)^{2}

Solution

45 - 28 i

Solution steps

(7 - 2 i)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

7^{2} - 2 \cdot 7 \cdot 2 i + (2 i)^{2} : - 28 i + 45

= - 28 i + 45

Rewrite in standard complex form:

45 - 28 i

= 45 - 28 i

Popular Examples

factor x^3-5x^2-25x+125 factor

x^{3} - 5 x^{2} - 25 x + 125

(2n+1)^2+3(2n+1)-4=0

(2 n + 1)^{2} + 3 (2 n + 1) - 4 = 0

factor 8x^2+20x+8 factor

8 x^{2} + 20 x + 8

factor-9r^2+1 factor

- 9 r^{2} + 1

factor x^3-5x^2+4x+10 factor

x^{3} - 5 x^{2} + 4 x + 10

Frequently Asked Questions (FAQ)

What is (7-2i)^2 ?
The solution to (7-2i)^2 is 45-28i