divide:- 25xy( 4x2 - 12xy + 9y2) by 5y(2x -3y)
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Answer:
10x² - 15xy
Step-by-step explanation:
We have,
25xy (4x² - 12xy + 9y²) / 5y (2x - 3y)
= 25xy {(2x)² - 2 (2x) (3y) + (3y)²} / 5y (2x - 3y)
= 25xy (2x - 3y)² / 5y (2x - 3y) [Using (a - b)² = a² - 2ab + b²) to factor the expression]
= 5x (2x - 3y)
= 10x² - 15xy
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