Simplify the expression: 10f + 8f - 9f - 6f ____

Group Like Terms: Group the like terms in the expression 10f + 8f - 9f - 6f. Reasoning: Like terms are terms that contain the same variables raised to the same power. In this case, all terms are like terms because they all contain the variable 'f'. Calculation: Grouping the like terms together, we have (10f + 8f) - (9f + 6f).Combine Like Terms: Combine the like terms from the grouped expression. Reasoning: We add and subtract the coefficients of the like terms. Calculation: (10f + 8f) - (9f + 6f) = 18f - 15f.Subtract Coefficients: Subtract the coefficients of the like terms to simplify the expression. Reasoning: We perform the subtraction of the coefficients to find the simplified form of the expression. Calculation: 18f - 15f = 3f.

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Simplify the expression: $\newline$ $10f + 8f - 9f - 6f$ $\newline$ $\square$

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Algebra 1

Simplify variable expressions involving like terms and the distributive property

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Q. Simplify the expression:

\newline

10f + 8f - 9f - 6f

\newline

\square

Group Like Terms: Group the like terms in the expression $10f + 8f - 9f - 6f$ .
Reasoning: Like terms are terms that contain the same variables raised to the same power. In this case, all terms are like terms because they all contain the variable $f$ .
Calculation: Grouping the like terms together, we have $(10f + 8f) - (9f + 6f)$ .
Combine Like Terms: Combine the like terms from the grouped expression. $\newline$ Reasoning: We add and subtract the coefficients of the like terms. $\newline$ Calculation: $(10f + 8f) - (9f + 6f) = 18f - 15f$ .
Subtract Coefficients: Subtract the coefficients of the like terms to simplify the expression. $\newline$ Reasoning: We perform the subtraction of the coefficients to find the simplified form of the expression. $\newline$ Calculation: $18f - 15f = 3f$ .