Factor 18s - 63
Understand the Problem
The question is asking to factor the expression 18s - 63. This involves finding a common factor for both terms in the expression.
Answer
$9(2s - 7)$
Answer for screen readers
The factored form of the expression is $9(2s - 7)$.
Steps to Solve
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Identify the common factor We need to find the greatest common factor (GCF) of the coefficients 18 and 63. The factors of 18 are: 1, 2, 3, 6, 9, 18 and the factors of 63 are: 1, 3, 7, 9, 21, 63. The largest common factor is 9.
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Factor out the common factor Now we can factor the expression by taking 9 out of both terms: $$ 18s - 63 = 9(2s - 7) $$
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Write the factored expression The final factored form of the expression is: $$ 18s - 63 = 9(2s - 7) $$
The factored form of the expression is $9(2s - 7)$.
More Information
Factoring is a useful skill in algebra that allows us to simplify expressions and solve equations efficiently. Finding the GCF is the first step in the factoring process, which helps to express the given algebraic expressions more compactly.
Tips
- Forgetting to find the GCF before factoring out terms can lead to incorrect answers.
- Not including the variable when factoring completely can also lead to incomplete responses.
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