solve : 100(x+y)²- 81(a+b)²
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{ 10(x + y)}² - { 9(a + b)}²
We know, a² - b² = (a+ b)(a - b)
Applying formula,
{ 10(x + y) + 9(a + b)} { 10(x + y) - 9(a + b)}
=> (10x +10y + 9a + 9b}{10x + 10y - 9a - 9b}
Plz refer to the attachment for the answer!!
Hope it helps....