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Determine the factors of a2b 2a2 3b 6. (b 3)(a2 2) (b 2)(a2 3) (ab 2)(a 3) (ab 3)(a 2)

Sagot :

The factor of [tex]$a^{2} b+2 a^{2}+3 b+6$[/tex] exists [tex]$\left(a^{2}+3\right)(b+2)$[/tex].

How to determine the factor of [tex]$a^{2} b+2 a^{2}+3 b+6$[/tex]?

Let the given factor be [tex]$a^{2} b+2 a^{2}+3 b+6$[/tex]

To factor this we use the grouping method

We group the first two terms and last two terms then we factor out the greatest common factor (GCF) from each group.

[tex]$\left(a^{2} b+2 a^{2}\right)+(3 b+6)$[/tex]

Take out GCF from each group

[tex]$a^{2}(b+2)+3(b+2)$[/tex]

Now factor out b+2, we get

[tex]$\left(a^{2}+3\right)(b+2)$[/tex]

The factor of [tex]$a^{2} b+2 a^{2}+3 b+6$[/tex] exists [tex]$\left(a^{2}+3\right)(b+2)$[/tex].

To learn more about the grouping method refer to:

https://brainly.com/question/24240168

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