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Q.

Factorise: 4x2 − 8xy

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a

4x(x − 2y)

b

x(x − 2y)

c

4x(x + 2y)

d

x(4x + y)

answer is B.

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Detailed Solution

Given: 4x2 − 8xy

4x2 = 2 × 2 × x × x

8xy = 2 × 2 × 2 × x × y

The common factor of 4x2 and 8xy is 2 × 2 × x = 4x.

Therefore, by taking 4x as common, we get,

4x2 − 8xy = 4x(x − 2y)

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