Factorise:

Question:

Factorise:
a2 + 6a − 91

Solution:

The given expression is $a^{2}+6 a-91$.

Find two numbers that follow the conditions given below :

Sum $=6$

Product $=-91$

Clearly, the numbers are 13 and $-7$.

$a^{2}+6 a-91=a^{2}+13 a-7 a-91$

$=a(a+13)-7(a+13)$

$=(a+13)(a-7)$

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