Questions: Factoriser les expressions suivantes: A=ab+5b ; B=12x+18

Factoriser les expressions suivantes: A=ab+5b ; B=12x+18
Transcript text: Factoriser les expressions suivantes: \[ A=a b+5 b \quad ; \quad B=12 x+18 \]
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Solution

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Solution Steps

To factorize the given expressions, we need to find the greatest common factor (GCF) for each expression and then express the original expression as a product of the GCF and the remaining terms.

Step 1: Factorizing Expression A

The expression \( A = ab + 5b \) can be factored by identifying the greatest common factor, which is \( b \). Thus, we can rewrite \( A \) as: \[ A = b(a + 5) \]

Step 2: Factorizing Expression B

For the expression \( B = 12x + 18 \), the greatest common factor is \( 6 \). Therefore, we can factor \( B \) as: \[ B = 6(2x + 3) \]

Final Answer

The factored forms of the expressions are: \[ A = b(a + 5) \quad \text{and} \quad B = 6(2x + 3) \] Thus, the final answers are: \[ \boxed{A = b(a + 5)} \quad \text{and} \quad \boxed{B = 6(2x + 3)} \]

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