Subjects algebra

Factorise Expression E1F990

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Question: factorise $3x+6$
1. **State the problem:** Factorise the expression $3x+6$. 2. **Recall the factoring formula:** To factorise an expression, find the greatest common factor (GCF) of all terms and factor it out. 3. **Find the GCF:** The terms are $3x$ and $6$. The GCF of $3$ and $6$ is $3$. 4. **Factor out the GCF:** $$3x + 6 = 3(x + 2)$$ 5. **Explanation:** We took $3$ out of both terms. Inside the parentheses, $3x$ becomes $x$ because $3x \div 3 = x$, and $6$ becomes $2$ because $6 \div 3 = 2$. **Final answer:** $$3(x + 2)$$