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Popular >

simplify (2+3i)(2-3i)-4+i

Solution

simplify

(2 + 3 i) (2 - 3 i) - 4 + i

Solution

9 + i

Solution steps

(2 + 3 i) (2 - 3 i) - 4 + i

Apply complex arithmetic rule:

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

(2 + 3 i) (2 - 3 i) = (2^{2} + 3^{2})

= 2^{2} + 3^{2} - 4 + i

2^{2} = 4

3^{2} = 9

= 4 + 9 - 4 + i

Add the numbers:

4 + 9 - 4 = 9

= 9 + i

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Frequently Asked Questions (FAQ)

What is (2+3i)(2-3i)-4+i ?
The solution to (2+3i)(2-3i)-4+i is 9+i