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Algebraic Expressions — MATHS STD 7 — Question

Gujarat BoardEnglish MediumSTD 7MATHSAlgebraic Expressions1 Mark
MCQ
By how much is $x^4 - 4x2y^2 + y^4$ less than $x^4 + 8x^2y^2 + y^4?$
  • A
    $-12x^2y^2$
  • ✓
    $12x^2y^2$
  • C
    $-12xy$
  • D
    $12xy$
✓

Answer

Correct option: B.
$12x^2y^2$
$(x^4 - 4x2y^2 + y^4) - (x^4 + 8x^2y^2 + y^4)$
Separating like terms and unlike terms, we get
$= x^4 - x^4 + y^4 - y^4 + 8x^2y^2 - (-4x^2y2)$
$= 8x^2y^2 + 4x^2y^2$
$= 12x^2y^2$

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