Question

(ii) 4(x + y) 3 - 25(x + y) factorise​

Answer 1

Answer:

(x + y)(2x + 2y + 5)(2x + 2y - 5)

Step-by-step explanation:

4(x + y)³ - 25(x + y)

= (x + y)[4 (x + y)² - 25]

= (x + y)[{2(x + y)}² - (5)²]

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

= (x + y)(2x + 2y + 5)(2x + 2y - 5)

using formula x²-y² = (x+y)(x-y)