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Question

Factorise:

(6) 4x2y + 3xy2

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Solution

4x2y + 3xy2
4x2y = 2 × 2 × x × x × y
3xy2 = 3 × x × y × y
Here, x and y are the common factors of the given terms.
Hence, 4x2y + 3xy2 = x × y (2 × 2 × x + 3 × y)
= xy (4x + 3y)

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