10 grade maths
Express the complex number (1 - i) - (-1 + i6) in the form a + ib.
Express the complex number (1 - i) - (-1 + i6) in the form a + ib.
1 Answer
Askiitians Tutor Team
We are asked to express the complex number (1 - i) - (-1 + i6) in the form a + ib, where a and b are real numbers and i is the imaginary unit.
Step 1: Expand the expression (1 - i) - (-1 + i6) means subtracting the second complex number from the first. This is equivalent to:
(1 - i) + (1 - i6)
Step 2: Simplify the expression Now, combine the real and imaginary parts:
Real part: 1 + 1 = 2 Imaginary part: -i - i6 = -i(1 + 6) = -i7
Step 3: Final expression Thus, the simplified expression is:
2 - i7
So, in the form a + ib, the complex number is:
2 - 7i
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