Question

512m3 - 343n3 answer this question​

Answer 1

Answer:

(8m -7n)(64m²+56mn+49n²)

Step-by-step explanation:

Here 512m³ can be written as (8m)³

and 343n³ can be written as (7n)³

Now a³ - b³ = (a - b)(a²+ab+b²)

(8m)³ - (7n)³ = (8m - 7n)((8n)²+8n×7n+(7n)²)

= (8m - 7n )(64m² + 56mn + 49n²)

Answer 2

$\huge\fbox\red{S}\fbox\pink{O}\fbox\blue{L}\fbox\green{U}\fbox\blue{T}\fbox\orange{I}\fbox\green{O}\fbox\pink{N}$

$⇒8 {}^{3} m {}^{3} - 7 {}^{3} n {}^{3} \\ ⇒(8m) {}^{3} - (7n) {}^{3} \\ ⇒(8m - 7n) \times ((8m) {}^{2} + 8m \times 7n + (7n) {}^{2} ) \\ ⇒(8m - 7n) \times (64m {}^{2} + 56 \: mn + 49n {}^{2}$

$\;\large{\boxed{\bf{\purple{ Answer ⇒(8m - 7n) \times (6m {}^{2} + 56mn + 49n {}^{2} )}}}}$

$\sf\blue{hope \: this \: helps \: you!! \: }$