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Mathematics 10 Online
UkuleleGirl:

Factoring. Again.

UkuleleGirl:

\[5y^2z-42x^4y^5\]

UkuleleGirl:

@florisalreadytaken

UkuleleGirl:

i'm not sure...if i pinged this person right...lmao

UkuleleGirl:

Idek if i pinged you right or not.

UkuleleGirl:

I can't find a gcf.

Florisalreadytaken:

no, it's fine you see the two terms only have got \(y ^2\) in common

UkuleleGirl:

Yes.

Florisalreadytaken:

right, and you remember that \( a^{b+c}=a^{b} \times a^{c} \) applying the rule we get \( y^5=y^2 \times y^3 \) for the second term you can finish it

UkuleleGirl:

hmm let me see here. we would take out 2. then in the parenthesis, uh...

UkuleleGirl:

I'm confused sorry.

UkuleleGirl:

What do we do with the numbers....

UkuleleGirl:

do we just bring them down?

Florisalreadytaken:

well, there's no GFC between 5 and 42 other than one as far as I am concerned, but if you came up with any theory, i wouldn't mind knowing!

UkuleleGirl:

I have no idea...tbh.

Florisalreadytaken:

knowing that only \(y^2\) is common we could just simplify it: \( 5y^2z-42x^4y^5 \ \ = \ \ 5y^2z-42x^4y^2y^3 ​\) and here we can simplify the \(y^2\) \(\boxed{y^2\left(5z-42x^4y^3\right)}\)

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