Question

Factorise the following question:

1)
$\frac{1}{35} + \frac{12}{35} a + {a}^{2}$
2)
$( {x}^{2} - 3x)( {x}^{2} - 3x - 1) - 20$

Answer 1

1)
1 / 35 + 12a / 35 + a^2
1/35 + 12a/35 + 35a^2/ 35
1/35 + 7a/35 + 5a/35 + 35a^2/35
1/35( 1+7a ) +5a/35 ( 1+7a )
(1+7a) ( 5a/35 )
2)

Answer 2

firstly ×35 both side the equation then the equation became 35a²+12a+1
35a²+7a+5a+1
7a(5a+1)+1(5a+1)
(7a+1)(5a+1)
a=-1/7 or a=-1/5