Factorise- 4 x y-x y2A- x4-yB- x y4-yC- x y4 x-yD- y 4 x - y

The correct option is B xy(4+y) From the given expression, 4xy=4 × x × y....(i) xy^2=x × y × y....(ii) From (i) and (ii), it is clear that x and y are the comm ...

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Standard VII

Mathematics

(a + b)^2 Expansion and Visualisation

Factorise: 4 ...

Question

Factorise: $4 x y + x y^{2}$

True

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$x y (4 + y)$

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$x y (4 x + y)$

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$y (4 x + y)$

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Solution

The correct option is B
$x y (4 + y)$

From the given expression,

$4 x y = 4 \times x \times y$ ....(i)

$x y^{2} = x \times y \times y$ ....(ii)

From (i) and (ii), it is clear that $x$ and $y$ are the common factors.

Taking $x$ and $y$ common from both the terms, we get

$4 x y + x y^{2}$ = $x y (4 + y)$

Therefore, the factors of $4 x y + x y^{2}$ are $x y$ and $(4 + y)$ .

Suggest Corrections

Factorise:4xy+xy2

The correct option is B xy(4+y) From the given expression, 4xy=4×x×y....(i) xy2=x×y×y....(ii) From (i) and (ii), it is clear that x and y are the common factors. Taking x and y common from both the terms, we get 4xy+xy2=xy(4+y) Therefore, the factors of 4xy+xy2 are xy and (4+y).

Factorise: $4 x y + x y^{2}$