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Factorization — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSFactorization1 Mark
MCQ
Tick $(\checkmark)$ the correct answer:
$3 + 23y - 8y^2 = \ ?$
  • A
    $(1 - 8y)(3 + y)$
  • ✓
    $(1 + 8y)(3 - y)$
  • C
    $(1 - 8y)(y - 3)$
  • D
    $(8y - 1)(y + 3)$
✓

Answer

Correct option: B.
$(1 + 8y)(3 - y)$
B.  $(1 + 8y)(3 - y)$
Solution:
$3+23 y-8 y^2 $
$=3+24 y-y-8 y^2 $
$ \{3 \times(-8)=-24,-24=24 \times(-1), 23=24-1\} $
$ =3(1+8 y)-y(1+8 y) $
​​​​​​​$ =(1+8 y)(3-y)$

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