Question

a² + 8a+15 factorise

answer...​

Answer 1

Correct option is

C

∣(a+5)(a−5)(a+3)∣

(a

2

−25)(a

2

+8a+15)(a

2

−2a−15)

Factor of a

2

−25=(a+5)(a−5)

Factor of a

2

+8a+15=(a+3)(a+5)

Factor of a

2

−2a−15=(a−5)(a+3)

Therefore,

(a

2

−25)(a

2

+8a+15)(a

2

−2a−15)

=

(a+5)

2

(a−5)

2

(a+3)

2

=

((a+5)(a−5)(a+3))

2

= ∣(a+5)(a−5)(a+3)∣

Answer 2

Explanation:

by splitting the middle term

a²+8a+15

a²+(5a+3a)+15

(a²+5a)+(3a+15)

a(a+5)+3(a+5)

(a+3)(a+5)