Multiply both numerator and denominator of 
by the complex conjugate of the denominator, -2+9i.
Multiplication can be transformed into difference of squares using the rule: 
.
By definition, i² is -1. Calculate the denominator.
Multiply complex numbers 5-3i and -2+9i in the same way as you multiply binomials.
Do the multiplications in 
.
Combine the real and imaginary parts in -10+45i+6i+27.
Do the additions in 
.
Divide 17+51i by 85 to get 
.
The real part of 
is 
.
Answer:
2xy(x+5)(4x−1)
Step-by-step explanation:
1 Find the Greatest Common Factor (GCF).
GCF = 2xy
2 Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
2xy (8x^3y + 38x^2y/2xy + −10xy/2xy)
3 Simplify each term in parentheses.
2xy(4x^2 +19x−5)
4 Split the second term in 4x^2+19x-5 into two terms.
2xy(4x^2 +20x−x−5)
5 Factor out common terms in the first two terms, then in the last two terms.
2xy(4x(x+5)−(x+5))
6 Factor out the common term x+5.
2xy(x+5)(4x−1)
Answer:
(-4,-5)
Step-by-step explanation:
