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64x³+125y³, Factorize the given equation.

User Vishnu G S
by
8.5k points

1 Answer

3 votes

Answer:

(4x + 5y)(16x² - 20xy + 25y² )

Explanation:

given

64x³ + 125y³

this is a sum of cubes and factorises in general as

a³ + b³ = (a + b)(a² - ab + b²)

64x³ + 125y³

= (4x)³ + (5y)³ → with a = 4x and b = 5y

= (4x + 5y)((4x)² - 4x(5y) + (5y)² )

= (4x + 5y)(16x² - 20xy + 25y²) ← in factored form

User Ashwin Bande
by
7.7k points

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