Apply the distributive property to factor out the greatest common factor.
75+20=
HCF is 5 , so ....
75+20
= 5(15 + 4)
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To apply the distributive property to factor out the greatest common factor of 75 and 20, we need to find the greatest common factor of the two numbers.
The factors of 75 are 1, 3, 5, 15, 25, and 75.
The factors of 20 are 1, 2, 4, 5, 10, and 20.
The greatest common factor of 75 and 20 is 5.
Now, we can use the distributive property to factor out the greatest common factor:
75 + 20 = 5 * (15 + 4)
To factor out the greatest common factor from the expression 75 + 20, we first need to find the greatest common factor (GCF) of both numbers.
Step 1: Find the factors of each number
The factors of 75 are 1, 3, 5, 15, 25, and 75.
The factors of 20 are 1, 2, 4, 5, 10, and 20.
Step 2: Find the common factors
The common factors of 75 and 20 are 1 and 5.
Step 3: Identify the greatest common factor
The greatest common factor (GCF) of 75 and 20 is 5.
Step 4: Factor out the GCF
To factor out the GCF, we divide each term by the GCF, which is 5 in this case:
75 / 5 = 15
20 / 5 = 4
Therefore, applying the distributive property and factoring out the GCF of 5, we get:
75 + 20 = 5(15 + 4)