Question

Which exs press ion is equivalent to (9i+3)-(-8i-2)

Answer 1

The expression equivalent to (9i+3)-(-8i-2) is determined by removing the parentheses and combining like terms, resulting in the equivalent expression 17i + 5.

Step-by-step explanation:

To find an expression equivalent to (9i+3)-(-8i-2), we start by removing the parentheses, which involves changing the signs of the terms inside the parentheses being subtracted. The process goes as follows:

(9i + 3) - (-8i - 2)
= (9i + 3) + (8i + 2)
= 9i + 3 + 8i + 2

After removing the parentheses, we combine like terms:

9i + 8i (the imaginary terms)
3 + 2 (the real terms)

This gives us:

17i + 5

Therefore, the expression equivalent to (9i+3)-(-8i-2) is 17i + 5.