1.

Factorize it (a-b)² -5(a-b) +6 ​

Answer»

(a - b - 2)(a - b - 3)

Step-by-step EXPLANATION:

To factorise

(a - b)² - 5(a - b) + 6

Solution:-

Let a - b = x

Therefore, the equation will be,

→ x² - 5x + 6

Splitting the MIDDLE term,

We need two coefficient of x such that their product should be 6 and sum should be -5.

Numbers are -2 and -3.

→ x² - 2X - 3x + 6

→ x(x - 2) - 3(x - 2)

→ (x - 2)(x - 3)

Substituting a - b = x, we get,

(a - b - 2)(a - b - 3)

Hence, FACTORIZED.


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