write the following in factored form by factoring out the greatest common factor
66y to the 12th power + 42y to the 8th power=

Question

write the following in factored form by factoring out the greatest common factor 
66y to the 12th power + 42y to the 8th power=

anonymous · Answer

$$66y^{12}+42y^8$$ right?

friendzone · Answer

yes

anonymous · Answer

the greatest common divisor of 66 and 42 is 6

anonymous · Answer

ie. you can factor a 6 out of both terms
also you can factor out a $y^8$

friendzone · Answer

correct you can get alot out of it

anonymous · Answer

$$66y^{12}+42y^8$$ factor the 6 and $y^8$ 
get $$6y^8(11y^4+7)$$

igreen · Answer

Yep, since the greatest common factor is $6y^8$, you can divide that to both terms.

$66y^{12} \div 6y^8 = 11^4$ - Divide the whole numbers, subtract the exponents.

$42y^8 \div 6y^8 = 7$ - Same thing here.

igreen · Answer

Then we just put them in a parenthesis, with the greatest common factor outside of it.

$6y^8(11y^4 + 7)$

igreen · Answer

*$11y^4$

friendzone · Answer

good help thanks so much