Which of the following represents the factorisation of 2 xy -14 y 2 -A- 2 y x -7 y B- 3 y x -7 y C- 4 xx-7 yD- 2 x3 x-7 y

The correct option is A 2y(x + 7y)The above expression can be factorized as, 2xy + 14y^2 =(2× x× y)+(2× 7× y× y) Taking 2 and y common from both the terms, we ...

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Standard VIII

Mathematics

Factorisation by Common Factors

Which of the ...

Question

Which of the following represents the factorisation of
$2 x y + 14 y^{2} ?$

2 y (x + 7 y)

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3 y (x + 7 y)

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4 x (x + 7 y)

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2 x (3 x + 7 y)

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Solution

The correct option is A $2 y (x + 7 y)$
The above expression can be factorized as,
$2 x y + 14 y^{2}$
$= (2 \times x \times y) + (2 \times 7 \times y \times y)$
Taking 2 and y common from both the terms, we get
$2 y (x + 7 y) .$

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Which of the following represents the factorisation of 2xy+14y2?

The correct option is A 2y(x+7y)The above expression can be factorized as, 2xy+14y2 =(2×x×y)+(2×7×y×y) Taking 2 and y common from both the terms, we get 2y(x+7y).

Which of the following represents the factorisation of
$2 x y + 14 y^{2} ?$

The correct option is A $2 y (x + 7 y)$
The above expression can be factorized as,
$2 x y + 14 y^{2}$
$= (2 \times x \times y) + (2 \times 7 \times y \times y)$
Taking 2 and y common from both the terms, we get
$2 y (x + 7 y) .$