Factor the GCF out of this given expression:Please explain the steps on you got it so as i can practice with it for future similar problems

(1) a^7b^8+a^5b^6-a^3b^2

(2) -18a^5-30a^3+24a^2

(3) 6x(x-8)-5(x-8)

Factor the GCF out of this given expression:Please explain the steps on you got it so as i can practice with it for future similar problems

(1) a^7b^8+a^5b^6-a^3b^2

(2) -18a^5-30a^3+24a^2

(3) 6x(x-8)-5(x-8)

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Fairport, NY

Hi Ma,

Lets start with #3 first

you see that the term (x-8) is common (the greatest common factor) to both terms in the expression 6x(x-8)-5(x-8) so if we factor it out we have (x-8)(6x-5)

2. -18a^{5} -30a^{3 }+24a^{2 }the greatest common factor is 6a^{2 }in this case it's the term with the smallest exponent so we have 6a^{2}(-3a^{3}-5a+4) make sense?

1. The GCF here is a^{3}b^{2 } you try the rest.

Regards

Jim

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