Which among the following is not a factor of 4 y y -3 -A- y 2-3 yB- None of these C- 4 y 2D- 4 y -3

The correct option is C 4 y^2 4y(y + 3) can be written as 4 × y × (y + 3) = 4y × (y + 3) = 4(y + 3)× y = 4 × y(y + 3) 4y × (y + 3); y(y + 3) is a factor of ...

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Standard VIII

Mathematics

Factorisation by Common Factors

Which among t...

Question

Which among the following is not a factor of $4 y (y + 3)$ ?

$y^{2} + 3 y$

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$4 y^{2}$

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4(y + 3)

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None of these

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Solution

The correct option is B
$4 y^{2}$

$4 y (y + 3)$ can be written as $4 \times y \times (y + 3) = 4 y \times (y + 3) = 4 (y + 3) \times y = 4 \times y (y + 3)$
$4 y \times (y + 3); y (y + 3)$ is a factor of $4 y (y + 3)$
$4 (y + 3) \times y = 4 y (y + 3); 4 (y + 3)$ is a factor of $4 y (y + 3)$
$4 y (y + 3)$ is $4 y^{2} + 12 y$ .
So, $4 y^{2}$ is a term in the expansion of $4 y (y + 3)$ but not a factor.

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