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Question
Factorise:
(2) 36x2y − 42xy2
(2) 36x2y − 42xy2
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Solution
36x2y − 42xy2
36x2y = 2 × 2 × 3 × 3 × x × x × y
42xy2 = 2 × 3 × 7 × x × y × y
Here, 2, 3, x and y are the common factors of the given terms.
Hence, 36x2y − 42xy2
= 2 × 3 × x × y (2 × 3 × x − 7 × y)
= 6xy (6x − 7y)
36x2y = 2 × 2 × 3 × 3 × x × x × y
42xy2 = 2 × 3 × 7 × x × y × y
Here, 2, 3, x and y are the common factors of the given terms.
Hence, 36x2y − 42xy2
= 2 × 3 × x × y (2 × 3 × x − 7 × y)
= 6xy (6x − 7y)
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