Question

factor $60y - 90 - 20x$ to identify the equivalent expressions.
choose 2 answers:
a $5(14y - 16 - 4x)$
b $2(30 - 45 - 10)$
c $5(12y - 18 - 4x)$
d $10(6y - 9 - 2x)$

Explanation:

Step1: Find GCF of coefficients

The coefficients are 60, 90, 20. Their greatest common factor (GCF) is 10. We can also check factors of 5, a divisor of 10.

Step2: Factor out 10 from original expression

$60y - 90 - 20x = 10(6y - 9 - 2x)$

Step3: Factor out 5 from original expression

$60y - 90 - 20x = 5(12y - 18 - 4x)$

Step4: Verify other options

Option A: $5(14y - 16 - 4x)=70y-80-20x$, not equivalent. Option B: $2(30 - 45 - 10)$ has no variables, not equivalent.

Answer:

C. $5(12y - 18 - 4x)$
D. $10(6y - 9 - 2x)$