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

The correct option is A 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 + ...

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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 $4 y (y + 3)$
$4 y$ is also 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)?

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