Factorise the given expression and divide as directed:
12xy(9x²-16y²)÷ 4xy(3x+4y)
Answers
Answered by
2
Answer:
9x-12y
Step-by-step explanation:
12xy(9x^2-16y^2)÷4xy(3x+4y)
12xy[(3x)^2-(4y)^2]÷4xy(3x+4y)
12xy(3x+4y)(3x-4y)÷4xy(3x+4y)
3(3x-4y) (12xy and 4xy got cut and 3x+4y also cut)
9x-12y
Answered by
3
12xy(9x²-16y²)÷ 4xy(3x+4y)
=3(9x²-16y²) / (3x+4y)
=3 [(3x)²- (4y)²] / 3x+4y
=3(3x+4y) (3x-4y) / 3x+4y
=3(3x-4y)
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