Math  /  Algebra

QuestionWhich expression is equivalent to 9b+9 b+ bb ? 8b+2b8 b+2 b 11b11 b b10b^{10} b+10b+10

Studdy Solution

STEP 1

1. We are given the expression 9b+b9b + b.
2. We need to find an equivalent expression from the given options.

STEP 2

1. Simplify the given expression.
2. Compare the simplified expression with the given options.
3. Identify the equivalent expression.

STEP 3

Simplify the expression 9b+b9b + b.
Combine like terms: 9b+b=(9+1)b=10b9b + b = (9 + 1)b = 10b.

STEP 4

Compare the simplified expression 10b10b with the given options:
- 8b+2b=10b8b + 2b = 10b - 11b11b - b10b^{10} - b+10b + 10

STEP 5

Identify the equivalent expression.
The expression 8b+2b8b + 2b simplifies to 10b10b, which is equivalent to the original expression 9b+b9b + b.
The equivalent expression is:
8b+2b \boxed{8b + 2b}

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