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Question 32 - (1 mark available)

Factorize [tex][tex]$8x + 12$[/tex][/tex].

Sagot :

GinnyAnswer
Alright class, let's factorise the expression [tex]\(8x + 12\)[/tex] step by step.

1. Identify the common factor:
Look at the constants and coefficients in both terms. We have [tex]\(8x\)[/tex] and [tex]\(12\)[/tex]. The greatest common factor (GCF) of 8 and 12 is 4.

2. Factor out the GCF:
We factor out 4 from each term in the expression. This means rewriting each term as a product of 4 and another term:
[tex]\[ 8x + 12 = 4 \cdot 2x + 4 \cdot 3 \][/tex]

3. Rewrite the expression:
Now, we can use the distributive property in reverse, which is factoring out the common factor:
[tex]\[ 4(2x + 3) \][/tex]

So, the factorised form of [tex]\(8x + 12\)[/tex] is:

[tex]\[ 4(2x + 3) \][/tex]

And that is the final answer.
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