Q1 of 86 Page 56

Use suitable identities to find the following products

(x - 5) (x - 5)

(x - 5) (x - 5) = (x – 5)2


Using identity (a – b)2 = a2 – 2ab + b2


Here a = x and b = 5


⇒ (x - 5) (x - 5) = x2 – 2 × x × 5 + 52


⇒ (x - 5) (x - 5) = x2 – 10x + 25


Therefore (x - 5) (x - 5) = x2 – 10x + 25


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