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Q.

Factorise: 36x3y + 60xy4

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a

6xy(6xy + 5y3)

b

6xy(3x2 + 5y2)

c

12xy(3x3 + 5y2)

d

12xy(3x2 + 5y3)

answer is D.

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Detailed Solution

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The given expression is 36x3y + 60xy4.

36x3y = 2 × 2 × 3 × 3 × x × x × x × y

60xy4 = 2 × 2 × 3 × 5 × x × y × y × y × y

By taking 2, 2, 3, x, y as common from both the terms, we get,

36x3y + 60xy4 = 2 × 2 × 3 × x × y(3x2 + 5y3)

= 12xy(3x2 + 5y3)

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