Apply the distributive property to factor out the greatest common factor.
yes -- that's what it's for.
50 , 150
50 = 5 * 5 * 2
150 = 5 * 5 * 2 * 3
so if a = 50
and b = 150
greatest common = 5*5*2 = 50
then a+b = 50 + 150 = 50* 1 + 50*3
but that we know is 50 * (1+3)
= 50*4 = 200
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To apply the distributive property to factor out the greatest common factor, you need to look for a common factor among the terms in the expression. If you find a common factor, you can factor it out by dividing each term by that factor. Here's a step-by-step approach:
1. Identify the terms in the expression. For example, let's say we have the expression 4x + 8y.
2. Find the greatest common factor (GCF) of all the terms. In this case, the GCF of 4 and 8 is 4, and there are no variables to consider.
3. Divide each term by the GCF. For our example, divide both 4x and 8y by 4:
(4x/4) + (8y/4)
4. Simplify the expression by performing the division:
x + 2y
So, after factoring out the greatest common factor of 4, the expression 4x + 8y can be rewritten as x + 2y.