Question

40x + 45y + 55 = \square
(factor completely.)

Explanation:

Step1: Find GCF of 40, 45, 55

Prime factors:
\(40 = 2^3 \times 5\),
\(45 = 3^2 \times 5\),
\(55 = 5 \times 11\).
GCF is \(5\).

Step2: Factor out GCF

Divide each term by \(5\):
\(40x \div 5 = 8x\),
\(45y \div 5 = 9y\),
\(55 \div 5 = 11\).
So, \(40x + 45y + 55 = 5(8x + 9y + 11)\).

Answer:

\(5(8x + 9y + 11)\)