Question

Factor completely. a^2 + 28a + 27

Answer 1

a^2+(27+1)a+27=0
a^2+27a+a+27=0
a(a+27)+1(a+27)=0
(a+27) (a+1)=0

Answer 2

for factorisation it is necessary that you multiply the last and first values
Here we can see : we require 27a^2
SO if we multiply the answer should be 27 and if we add the answer should be 28 ....here goes !!

a^2 + 28a + 27

a^2 + 27a + 1a + 27

Here we can see : I we multiply 27 and 1 the answer will be 27a^2 but if we add 27 and 1 as shown then answer will be 28a:

a ( a + 27 ) + 1 ( a + 27 )

( a + 1 ) × (a + 27 )

HOPE IT HELPED!!