Question

Factorise the expression and divide them as directed
$12xy( {9x}^{2} - {16y}^{2} ) \div 4xy(3x + 4y)$
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Answer 1

Answer:

3(3x-4y)

Step-by-step explanation:

12xy(9x² - 16y²) ÷ 4xy(3x + 4y)

=12xy{(3x)² - (4y)²} ÷ 4xy(3x + 4y)

=12xy(3x + 4y)(3x - 4y) ÷ 4xy(3x + 4y)

=3(3x-4y)                               [4xy cuts 12xy to give 3 and 3x+4y cuts to give 1]

Ans:- 3(3x-4y)