5. Simplify each expression:
a. -(4i – 1 + 3i) + (61 – 10)

Step-by-step explanation:

-(4i – 1 + 3i) + (61 – 10)

Rearrange to easier combine like terms

-(4i + 3i - 1) + (61 - 10)

Simplify

-(7i - 1) + 51

Remover parenthesis, change - sign to + due to double - signs.

-7i + 1 + 51

-7i + 52

Rearrange equation to minimize operations.

Hope this helps, let me know if you have any questions!

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11