SOLUTION: What does the product (4+7i)(2-5i) equal? What does the quotient (1+4i)/(5-2i) equal?

Question 173218: What does the product (4+7i)(2-5i) equal?

What does the quotient (1+4i)/(5-2i) equal?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
# 1

Start with the given expression.

FOIL.

Multiply.

Replace with . Note: .

Multiply.

Combine like terms.

So .

So the expression is now in standard form where and

# 2

Start with the given expression.

Multiply the fraction by (which is the complex conjugate of the denominator).

Combine the fractions.

FOIL the numerator.

FOIL the denominator.

Multiply.

Combine like terms.

Break up the fraction.

So .

So the expression is now in standard form where and
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