expand 5(x+3)
Factor 6x-10y
distributive property
5*x + 5*3
both numbers even so for starters
2 (3x-5y)
3 and 5 are prime numbers, can not be factored. The end.
To expand 5(x+3), you need to distribute the 5 to both terms inside the parentheses:
5(x+3) = 5*x + 5*3 = 5x + 15
Now, to factor 6x-10y, we need to find the greatest common factor (GCF) of both terms. In this case, the GCF is 2:
2 * (3x - 5y)
Therefore, the factored form of 6x-10y is 2(3x-5y).