Sarthaks Test
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Factorise the expressions and divide them as directed.

(i) 12xy(9x2 − 16y2) ÷ 4xy(3x + 4y)

(ii) 39y3(50y2 − 98) ÷ 26y2(5y + 7)

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(i) 12xy(9x2 − 16y2

= 12xy[(3x)2 − (4y)2

= 12xy(3x − 4y) (3x + 4y)

= 3(3x - 4y)

(ii) 39y3(50y2 − 98) 

= 3 × 13 × y × y × y × 2[(25y2 − 49)] 

= 3 × 13 × 2 × y × y × y × [(5y)2 − (7)2]

= 3 × 13 × 2 × y × y × y (5y − 7) (5y + 7)

26y2(5y + 7) 

= 2 × 13 × y × y × (5y + 7) 39y3(50y2 − 98) ÷26y2 (5y + 7)

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