Question

3. Factorise the expression and divide them:
a) (5p2 - 25p + 10) ÷ (y + 5)
b) (10x - 25) = 5​

Answer 1

Answer:

(5p

2

−25p+20)÷5(p−4)

⇒5p

2

−25p+20=5(p

2

−5p+4)

=5[p

2

−4p−p+4]

=5[p(p−1)−4(p−1)]

=5[(p−1)(p−4)]

∴ (5p

2

−25p+20)÷(p−1)=

(p−1)

5(p−1)(p−4)

=5(p−4).

∴(5p

2

−25p+20)÷(p−1)=5(p−4).