MathematicsFactorize the given polynomials:15 Pq + 15 + Pq + 25p

Factorize the given polynomials:

15 Pq + 15 + Pq + 25p

  1. A
    (4P + 5)(4q + 2)
  2. B
    (5P + 3)(3q + 5)
  3. C
    (6P + 2)(4q + 5)
  4. D
    (4p + 6)(4q + 8) 

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    Solution:

    15 pq + 15 + 9q + 25p  (Given)
    ⇒ (15 pq + 25p) + (18 + 9q)
    ⇒ 5(3q + 5) + 3(3 +3q)
    ⇒ 5p(5 + 3q) + 3(5 + 3q)
    ⇒ (5p + 3)(5 + 3q)

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