Question 28854
#1. Common factor of "3".
3(a^2-8a+16)
3(a-4)(a-4)=a(a-4)^2
#2Factor and 1st two then the 2nd two terms as follows:
 x(3x+y)-2(3x+y)
Common factor of (3x=y)
(3x+y)(x-2)
#3 prime

#4 Use the AC method.
ac=6(-5)=-30
b=13
Find two numbers whose product is ac=-30
and whose sum is b=13
The numbers are 15 and -2
So, rewrite the problem using 15x-2x in place of the 13x, as follows:
Rewrite as 6x^2+15x-2x-5
Factor the 1st two then the last two terms, as follows:
3x(2x+5)-(2x+5)
Common factor of (2x+5)
(2x+5)(3x-1)
Cheers,
Stan H.