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Question
Factorise the expression and divide them as directed.
12xy(9x2 − 16y2) ÷ 4xy(3x + 4y)
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Solution
12xy(9x2 − 16y2) ÷ 4xy(3x + 4y)
`(12xy(9x^2−16y^2))/(4xy(3x+4y))`
= `(12xy[(3x)^2−(4y)^2])/(4xy(3x+4y)`
= `(12xy(3x−4y)(3x+4y))/(4xy(3x+4y))` ...[x2 + (a + b) x + ab = (x + a) (x + b)]
= 3(3x − 4y)
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