Form 3 Maths Factorization

1a- Factorize x^3+27

=(x+3)(x^2-3x+9)

1b- Hence, factorize x^3-7x+6

= x^3-7x+27-21

=(x^3+27)-7(x-3)

=(x-3)(x^2-3x+9)-7(x-3)

=(x-3)(x^2-3x+2)

=(x-3)(x-2)(x-1)//

2- 9r^2-(3r-4s)^2

=(3r)^2-(3r-4s)^2

=[3r-(3r-4s)][3r+(3r-4s)]

=4s(6r-4s)

=8s(3r-2s)//

3- c^2(c+2)-c-2

=x^2(x+2)-(x+2)

=(c+2)(c^2-1)

=(c+2)(c+1)(c-1)//

4- a^3-4a^2-45a

=a(a^2-4a-45)

=a(a-9)(x+5)//

(1b) (x + 3)(x – 1)(x – 2)
(4) a(a + 5)(a – 9)