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Apply the distributive property to factor out the greatest common factor of all three terms. 10 a-25+5b=

Apply the distributive property to factor out the greatest common factor of all three terms.\newline10a−25+5b= 10 a-25+5 b=

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Q. Apply the distributive property to factor out the greatest common factor of all three terms.\newline10a−25+5b= 10 a-25+5 b=
  1. Identify GCF of coefficients: First, we need to identify the greatest common factor (GCF) of the coefficients of the terms in the expression 10a−25+5b10a - 25 + 5b. The coefficients are 1010, −25-25, and 55.\newlineTo find the GCF, we list the factors of each coefficient:\newlineFactors of 1010: 11, 22, 55, 1010\newlineFactors of 2525: 11, 55, 2525\newlineFactors of 55: 11, 55\newlineThe greatest common factor among these is 55.
  2. Factor out GCF using distributive property: Now that we have identified the GCF as 55, we can use the distributive property to factor it out of the expression. We divide each term by 55 and then multiply by 55 to factor it out:5(10a5−255+5b5)5\left(\frac{10a}{5} - \frac{25}{5} + \frac{5b}{5}\right)This simplifies to:5(2a−5+b)5(2a - 5 + b)

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