06. Simplify (1/2a-3b)^2 using suitable identity and verify the result by taking a= -1, b=2 , c= 1 class 8 maths
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We need to expand (2a - 3b)³
We know suitable identity is (x - y)³ = x³ –
3x²y + 3xy² + y³
Here x = 2a and y = 3b
Therefore, value of (2a - 3b)³ is
= (2a)³ — 3(2a)² (3b) + 3(2a) (3b)² – (3b)³
= 8a³ – 36a²b + 54ab² - 27b³
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