Which among the following is not a factor of 4 y y -3 -A- y2-3 yB- 4 y2C- 4y-3D- None of these

The correct option is B 4 4y(y + 3) can be written as 4 × y × (y + 3) = 4y × (y + 3) = 4(y + 3)× y = 4 × y(y + 3) y(y + 3) is a factor of 4y(y + 3) also, 4 ...

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Standard VIII

Mathematics

Factors of Algebraic Expressions and Factorisation

Which among t...

Question

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

+ 3

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4( + 3)

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None of these

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Solution

The correct option is B
4

$4 y (y + 3)$ can be written as $4 \times y \times (y + 3) = 4 y \times (y + 3) = 4 (y + 3) \times y = 4 \times y (y + 3)$
$y (y + 3)$ is a factor of $4 y (y + 3)$
also, $4 (y + 3)$ is a factor of $4 y (y + 3)$ .

On the other hand,
$4 y (y + 3) = 4 y^{2} + 12 y$
So, 4 $y^{2}$ is a term when $4 y (y + 3)$ is expanded but not a factor.

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

The correct option is B 4 4y(y+3) can be written as 4×y×(y+3)=4y×(y+3)=4(y+3)×y=4×y(y+3) y(y+3) is a factor of 4y(y+3) also, 4(y+3) is a factor of 4y(y+3). On the other hand, 4y(y+3)=4y2+12y So, 4y2 is a term when 4y(y+3) is expanded but not a factor.

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