Factorise 16-49(a-b)²
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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]
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