Question

The value of 2i(4 +5i) (1 + i)-1​

Answer 1

Answer:

Now let us simplify and express in the standard form of (a + ib), (2 + 3i)/(4 + 5i) = [multiply and divide with (4 - 5i)] = (2 + 3i)/(4 + 5i) × (4 - 5i)/(4 - 5i) = [2(4 - 5i) + 3i(4 - 5i)]/(42 – (5i)2) = [8 – 10i + 12i – 15i2]/(16 – 25i2) = [8 + 2i - 15(-1)]/(16 – 25(-1)) [since, i2 = -1] = (23 + 2i)/41 ∴ The values of a, b are 23/41, 2i/41Read more on Sarthaks.com - https://www.sarthaks.com/659743/express-the-following-complex-numbers-in-the-standard-form-a-ib-i-1-i-3i-1-i-ii-2-3i-4-5i-iii-1-i3