2 algebra 2 homework problems please help?

Question

FACTOR OUT COMPLETELY

1. a^2 - 8ab + 16b^2 - 25

2. a^2 - b^2 + 8b - 16

***easy 2 points to whoever answers it

Answer 1

Question 1
(a² - 8ab + 16b²) - 25
(a - 4b)² - 25
[ (a - 4b) - 5 ] [ (a - 4b) + 5 ]
( a - 4b - 5 ) ( a - 4b + 5 )

Question 2
a² - (b² - 8b + 16)
a² - (b - 4)²
[ a - (b - 4) ] [ a + (b - 4) ]
(a - b + 4) (a + b - 4)

Answer 2

1. a^2 - 8ab + 16b^2 - 25
a^2 -2(a)(4b) +(4b)^2 -5^2
(a-b)^2=a^2-2ab+b^2
(a-4b)^2 -5^2
a^2-b^2= (a+b)(a-b)
(a-4b+5)(a-4b-5)

2. a^2 - b^2 + 8b - 16
a^2 -(b^2-8b+16)
a^2 - [b^2 -2(b)(4) +4^2]
a^2- (b-4)^2
(a+b-4)(a-b+4)