The expression 10xy^4 - 10x^4y can be expressedin factors as: - Vidyadip

MCQ

The expression $10xy^4 - 10x^4y$ can be expressedin factors as:

A
$10xy (x - y)(x^2 + xy + y^2 )$
B
$10xy (y - x)(x^2 - xy + y^2)$
✓
$10xy(y - x)(x^2 + xy + y^2)$
D
None of these

✓

Answer

Correct option: C.

$10xy(y - x)(x^2 + xy + y^2)$

$10xy^4−10x^4y$
$= 10xy(y^3 - x^3)$
$= 10xy (y - x) (y^2 + x^2 + xy) [∵a3−b3=(a−b)(a2+b2+ab)]$
Option $C$ is correct.

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