Q. Express 9x+1 minus 32x as a single term in the form a(b2x).
Identify base numbers: Identify the base numbers in the expression.9 is 3 squared, so 9(x+1) can be written as (32)(x+1).
Apply power rule: Apply the power of a power rule to simplify (32)(x+1).(32)(x+1) becomes 32(x+1).
Distribute exponent: Distribute the exponent inside the parentheses. 32(x+1) becomes 32x+2.
Look at second term: Now, look at the second term 3(2x).This term is already in the correct form.
Combine terms: Combine the two terms into a single expression. 3(2x+2)−3(2x) cannot be combined as a single term in the form a(b(2x)) because the exponents are different.
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