Which of the following represents the factorisation of 2 xy -6 y 2 -A- 2 yx-3 yB- 3 y x -2 y C- 4 xx-3 yD- 6 y x - y

The correct option is A 2y(x + 3y) Given expression: nbsp;2xy + 6y^2 The expression can be factorised as follows: nbsp;2xy + 6y^2 =(2× x× y)+(2× 3× y× y) ...

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Byju's Answer

Standard VIII

Mathematics

Method of Common Factors

Which of the ...

Question

$Which of the following represents the factorisation of 2 x y + 6 y^{2} ?$

$2 y (x + 3 y)$

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$3 y (x + 2 y)$

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$4 x (x + 3 y)$

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6 y (x + y)

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Solution

The correct option is A
$2 y (x + 3 y)$

$Given expression: 2 x y + 6 y^{2}$
The expression can be factorised as follows:

$2 x y + 6 y^{2} = (2 \times x \times y) + (2 \times 3 \times y \times y)$

Taking 2 and y common from both the terms, we get,
$= 2 y (x + 3 y)$

$2 y (x + 3 y) is the factorisation of 2 x y + 6 y^{2} .$

Suggest Corrections

Which of the following represents the factorisation of 2xy+6y2?

The correct option is A 2y(x+3y) Given expression: 2xy+6y2 The expression can be factorised as follows: 2xy+6y2=(2×x×y)+(2×3×y×y) Taking 2 and y common from both the terms, we get, =2y(x+3y) 2y(x+3y) is the factorisation of 2xy+6y2.

$Which of the following represents the factorisation of 2 x y + 6 y^{2} ?$