Factorise $5x - 15$ and $2x - 6$ - Junior Cycle Mathematics - Question a - 2015

Question a

Factorise $5x - 15$ and $2x - 6$.
$$5x - 15 = \\ 5(x - 3)$$
$$2x - 6 = \\ 2(x - 3)$$
Worked Solution & Example Answer:Factorise $5x - 15$ and $2x - 6$ - Junior Cycle Mathematics - Question a - 2015
Factorise $5x - 15$

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To factorise the expression 5x−15, we notice that both terms share a common factor of 5. Thus, we can rewrite it as:
5x−15=5(x−3).
Factorise $2x - 6$

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Similarly, for the expression 2x−6, we see that both terms share a common factor of 2. Rewriting this expression gives us:
2x−6=2(x−3).
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