Answer:
5(2x + 3y) = 10x + 15y
Step-by-step explanation:
There is one particular way to find an equivalent expression which I am assuming is what the problem is looking for. When given a factored expression in the form of a binomial (two terms), by creating an equivilent expression, you can distribute the binomial inside the parenthesis factored by the coefficient 5. So 5(2x + 3y) = 5(2x) + 5(3y) = 10x + 15y.
5 is also the greatest common factor of 10x + 15y which is why this expression simplifies down to the equivilent expression 5(2x + 3y).
10x + 15y as a GCF is really the GCF of 10 and 15. What you do is individually split each number into all its possible factors(set of whole numbers that multiply to that number), and then find the factor that they both share.
For example, 10 has factors of 5, 2, 1, 10. And 15 has factors of 15, 1, 5, 3.
Notice how 5 appears in both.
