Question

54x
$54x {3} - 16y3$
​

Answer 1

Answer:

2(3x-2y)(9x²+6xy+4y²)

Step-by-step explanation:

54x³-16y³

2(27x³-8y³)

2{(3x)³-(2y)³}

use the identity a³-b³ = (a-b)(a²+ab+b²)

2(3x-2y)(9x²+6xy+4y²) Ans...

Thanku...

Answer 2

Answer:

2 ( 3x - 2y ) ( 9x² + 6xy + 4y² )

Step-by-step explanation:

Probably we need to factorize the given polynomial.

Well, let's rewrite the given polynomial again

54x³ - 16y³

Taking out the common,

2 ( 27x³ - 8y³ )

Using the identity a³ - b³ = ( a - b) ( a² + ab + b² ),

2 { (3x)³ - (2y)³ }

=> 2 ( 3x - 2y ) ( 9x² + 6xy + 4y² )

Hence, we can write,

54x³ - 16y³ = 2 ( 3x - 2y ) ( 9x² + 6xy + 4y² )