Question

Factorize by using suitable identity and mention the identity used. 9p^2 - 144 q^2

Answer 1

Step-by-step explanation:

9p^2=(3p)^2

144q^2=(12q)^2

(3p)^2^2= (3p)^2 - (12q)^2

It is in the form of identity a^2 - b^2= (a+b)(a-b)

Here a= 3p and b = 12q

(3p + 12q)(3p - 12q)= 3(p + 4q) × 3(p - 4q)= 9(p+4q)(p-4q)

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