Factor
24
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−
12
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+
72
24m−12p+7224, m, minus, 12, p, plus, 72 to identify the equivalent expressions.
We can factor 24 as 2 * 2 * 2 * 3.
The expression becomes:
(2 * 2 * 2 * 3)m - (2 * 2 * 3)p + (2 * 2 * 2 * 3 * 2)
Simplifying further:
8m - 6p + 48
To factor the expression 24m - 12p + 72, we can begin by finding the greatest common factor (GCF) of all three terms, which is 12.
So, we can rewrite the expression as:
12(2m - p + 6)
Therefore, the factored form of the expression 24m - 12p + 72 is 12(2m - p + 6).
To factor the expression 24m - 12p + 72, we need to find the greatest common factor (GCF) of all the terms and then divide each term by the GCF. Let's break it down step by step:
Step 1: Find the GCF of the coefficients (24, -12, and 72). The GCF of these numbers is 12, since it's the largest number that divides evenly into all of them.
Step 2: Divide each term by the GCF:
(24m - 12p + 72) ÷ 12
= (24m ÷ 12) - (12p ÷ 12) + (72 ÷ 12)
= 2m - p + 6
So, the equivalent expression for 24m - 12p + 72 is 2m - p + 6.