Question

Factorise : 75(x + y)2 - 48(x - y)2

Answer 1

Answer:

3 (9x+y) (x+9y)

Step-by-step explanation:

75(x+y)2 - 48(x-y)2

= 3 { 25(x+y)2 - 16(x-y)}

= 3 [{ 5(x+y)}2 - {4(x-y)}]

= 3 { (5x+5y)2 - (4x-4y)2}

= 3 ( 5x+5y+4x-9y) (5x+5y-4x+4y)

= 3 (9x+y) (x+9y)