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Factorization — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSFactorization1 Mark
MCQ
Factorize by grouping $15pq + 15 + 9q +25p$
  • A
    $(pq + 1) (3q + 5p)$
  • B
    $(3pq + 5p) (5 + 3q)$
  • C
    $(3q + 3) (5p + 5)$
  • ✓
    $(3q + 5) (5p + 3)$
✓

Answer

Correct option: D.
$(3q + 5) (5p + 3)$
To factorize this expression, rearrange the terms in tills expression $= 15pq +25p + 9q + 15$
Take Sp as the common factor of the first two terms and $3$ as the common factor of the other two terms.
$= 5p(3q + 5) + 3(3q + 5)$
$= (3q + 5) (5p + 3)$

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