Question

$64m^{3} - 343n^{3}$
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Answer 1

Answer:

(4m-7n)(16$m^{2}$+28mn+49$n^{2}$)

Step-by-step explanation:

  64$m^{3}$-343$n^{3}$

  $(4m)^{3} -(7n)^{3}$

  (4m-7n)(16$m^{2}$+28mn+49$n^{2}$)

 

Answer 2

Answer:

Answer:

(4m-7m)[16m²+28mn+49n²]

Explanation:

_______________________

We know the algebraic identity:

a³-b³ = (a-b)(a²+ab+b²)

_______________________

Given

64m³ - 343n³

= (4m)³ - (7n)³

= (4m-7m)[(4m)²+(4m)(7n)+(7n)²]

= (4m-7m)[16m²+28mn+49n²]

Therefore,

64m³-343n³

= (4m-7m)[16m²+28mn+49n²