Answer:
1. [tex](a + 3)(5a-14)[/tex]
2. [tex](p^2-6)[1-q(p^2-6)][/tex]
Step-by-step explanation:
1. The first thing to do to factor the expression is to take the expression (a + 3) as a common factor with its lowest exponent.
Then the expression. [tex]5(a + 3)^2- (a + 3)[/tex] remains as:
[tex](a + 3)(5 (a + 3) -1)\\\\(a + 3)(5a +15 -1)\\\\(a + 3)(5a-14)[/tex]
2. The first thing to do to factor the expression is to take the expression [tex]p^2 -6[/tex] as its common factor with its lowest exponent.
Then the expression [tex]p^2- 6 - q(p^2- 6)^2[/tex] remains as:
[tex](p^2-6)[1-q (p^2-6)][/tex]
