Question

factories 8xcube + 27ycube +36xsquare y +56xysquare​

Answer 1

$\bigstar$ Correct Question:

Factorise :

• 8x³ + 27y³ + 36x²y + 56xy²

$\bigstar$ Given:

The polynomial is:

• 8x³ + 27y³ + 36x²y + 56xy²

$\bigstar$To find:

• Factorise the polynomial.

$\bigstar$ Solution:

Here, we can use :

(a + b)³ = a³ + b³ + 3a²b + 3ab²

$\therefore$ 8x³ + 27y³ + 36x²y + 56xy²

= (2x)³ + (3y)³ + 3 (2x)² (3y) + 3 (2x) (3y)²

(By using (a + b)³ = a³ + b³ + 3a²b + 3ab² property)

= ( 2x + 3y ) ( 2x + 3y ) ( 2x + 3y )

= ( 2x + 3y )³

$\bigstar$Answer:

$\rightarrow$ Therefore, the factorised form of 8x³ + 27y³ + 36x²y + 56xy² is ( 2x + 3y )³

$\star$Formula used:

• (a + b)³ = a³ + b³ + 3a²b + 3ab²