Q. Pre-AlgebraAssignmentSimplify each expr1) 10a+9(a−9)
Distribute 9: Distribute the 9 to both terms inside the parentheses.Calculation: 9(a - 9) = 9\cdot a - 9\cdot 9\(\newlineReasoning: The distributive property states that \$a(b + c) = ab + ac\).\(\newline\)Math Error Check:
Simplify multiplication: Simplify the multiplication inside the parentheses.\(\newline\)Calculation: \(9a - 9\times9 = 9a - 81\)\(\newline\)Reasoning: Multiplying the coefficients by the variables and constants.\(\newline\)Math Error Check:
Combine like terms: Combine like terms by adding the coefficients of \(a\).\(\newline\)Calculation: \(10a + 9a - 81\)\(\newline\)Reasoning: Like terms in an expression are combined by adding or subtracting their coefficients.\(\newline\)Math Error Check:
Add coefficients of 'a': Add the coefficients of 'a' together.\(\newline\)Calculation: \(10a + 9a = 19a\)\(\newline\)Reasoning: Adding the numerical coefficients of the same variable.\(\newline\)Math Error Check:
Write final expression: Write the final simplified expression.\(\newline\)Calculation: The final expression is \(19a - 81\).\(\newline\)Reasoning: After combining like terms, the expression is in its simplest form.\(\newline\)Math Error Check:
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