Which among the following is not a factor of 4 y y -3 -A- 4 y2B- y2-3 yC- 4y-3D- None of these

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

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Standard VII

Mathematics

Factorising a Binomial

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
$4 \times y \times (y + 3)$
= $4 y \times (y + 3)$
= $4 (y + 3) \times y$
= $4 \times y (y + 3)$

$4 y \times (y + 3); y (y + 3)$ 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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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) 4y×(y+3);y(y+3) is a factor of 4y(y+3). 4(y+3)×y=4y(y+3);4(y+3) is a factor of 4y(y+3) 4y(y+3) is 4y2 + 12y. So, 4y2 is a term in the expansion of 4y(y+3) but not a factor.

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