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Home / Aptitude Tests / Mathematics / Factorize \(9p^2 - q...
Factorize 9p2q2+6qr9r2...

Factorize 9p2q2+6qr9r2

A.

(3p - 3q + r)(3p - q - 3r)

B.

(6p - 3q - 3r)(3p - q - 4r)

C.

(3p - q + 3r)(3p + q - 3r)

D.

(3q - p + 3r)(3q - p + 3r)

Correct answer is C

9p2q2+6qr9r2

= 9p2(q26qr+9r2)

= 9p2(q23qr3qr+9r2)

= 9p2(q(q3r)3r(q3r))

= 9p2(q3r)2

= (3p+(q3r))(3p(q3r))

= (3p+q3r)(3pq+3r)