Question

Factorise 16-49(a-b)²

Answer 1

36(a + b)² - 49(a - b)²

Write each term as a perfect square:

= [ 6(a + b) ]² - [ 7(a - b) ]²

Apply a² - b² = (a + b) (a - b):

= [ 6(a + b) - 7(a - b)] [ 6(a + b) + 7(a - b) ]

Distribute 6 and 7:

= [ 6a + 6b - 7a + 7b] [ 6a + 6b + 7a - 7b]

= [13b - a] [ 13a - b]

Answer: [13b - a] [ 13a - b]

carry on learning

mark as brainliest