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Factorization — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSFactorization1 Mark
MCQ
Nia has solved $(x + 4)^2 = x^2 + 16$ correct if required.
  • A
    $(x + 4)^2 = x^2 + 8 - 8x$
  • ✓
    $(x + 4)^2 = x^2 + 16 + 8x$
  • C
    $(x + 4)^2 = x^2 + 8$
  • D
    $(x + 4)^2 =x^2 -16$
✓

Answer

Correct option: B.
$(x + 4)^2 = x^2 + 16 + 8x$
B.  $(x + 4)^2 = x^2 + 16 + 8x$
Solution:
Expand $(x + 4)^2$ using the indentity, $(a + b)^2 = a^2 + b^2 + 2ab$
$\Rightarrow (x + 4)^2 = x^2 + 4^2 + 2 × x × 4 = x^2 +16 + 8x$

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