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Factorization — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSFactorization2 Marks
Question
Solve:
$4x^4+ 1$
✓

Answer

$4x^4+ 1$
$= 4x^4+ 4x^2+ 1 - 4x^2$
$= [(2x)^2+ 2 x 2x^2 x 1 + 1] - 4x^2$
$= (2x^2+ 1) - (2x)^2$
$= [(2x^2+ 1) - 2x][(2x^2+ 1) + 2x]$
$= (2x^2- 2x + 1)(2x^2+ 2x + 1)$

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