Question

question:-Factorize: 64 m 3 – 125 n 3​. i will be marking brainlist to the person who will give correct answer with explanation .please help me ​

Answer 1

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✴ Factorize: 64 m³– 125 n³.

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✏ 64m³ - 343n³

= 4×4×4m³ - 7×7×7n³

= 4×4×4m³ - 7×7×7n³

= (4m)³ - (7n)³

Using formula of (a³ - b³),

a³ - b³ =( a - b)(a² + ab + b²)

= (4m - 7n) {(4m)² + (4m)(7n) + (7n)² }

= (4m - 7n) {16m² + 28mn + 49n²}

➡ (4m - 7n) {16m² + 28mn + 49n²}

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Answer 2

Answer:

-16m³ - 25m³ -20m²n

Step-by-step explanation:

64m³- 125m³

= (4m)³ - (5m)³

[ a³+b³= (a-b) (a²+b²+ab)]

By using the identity(where a=4m and b=5m)

= (4m-5m) [(4m)² + (5m)² + 4m×5m]

= -m × ( 16m²+25m²+20mn)

= -16m³-25m³-20m²n

thank you