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in Algebraic Expressions by (56.3k points)

Factorize:

125 + 8x3 − 27y3 + 90xy

1 Answer

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Best answer

125 + 8x3 − 27y3 + 90xy 

= (5)3 + (2x)3 +(−3y)3 −3 × 5 × 2x ×(−3y) 

= (5 + 2x +(−3y)) (52 + (2x)2 + (−3y)2 −5(2x)−2x(−3y) − (−3y)5) 

= (5 + 2x − 3y)(25 + 4x2 + 9y2 − 10x + 6xy + 15y)

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