Question

Simplify (4-10i)-(5-7i)
a) -1+3i
b) -1-3i
c) 1-3i
d) 1+3i

Answer 1

The expression (4-10i)-(5-7i) simplifies to -1-3i, which matches answer choice (b). To simplify the expression (4-10i)-(5-7i), we can combine the real and imaginary parts separately.

Step-by-step explanation:

To simplify the expression (4-10i)-(5-7i), we perform the subtraction by combining like terms. Subtract the real parts and the imaginary parts separately:

• Subtract the real numbers: 4 - 5 = -1.
• Subtract the imaginary numbers: -10i - (-7i) = -10i + 7i = -3i.

Combine the results of these operations to get the simplified form:

-1 - 3i, which corresponds to answer choice (b).