Question

factorisation a2-2a-3​

Answer 1

Answer:

a(a-2)-3

factorisation of given question

Answer 2

Answer:

1. Use the sum-product pattern :

⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\sf{☞ \: a² - 2a - 3}$

$\sf{☞ \: a² + a - 3a - 3}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀

2. Common factor from the two pairs :

⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\sf{☞ \: a² + a - 3a - 3}$

$\sf{☞ \: a (a+1) - 3 ( a +1)}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀

3. Rewrite in factored form :

⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\sf{☞ \: a (a+1) - 3 ( a +1)}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀

Hence, answer is

( a - 3 ) ( a + 1 )

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

________________

hope this helps you...