Question

Find the product (a²b-2ab^2)(b + 3a) and verify
the result by taking a = 2,b=-1.​

Answer 1

Solution :-

→ (a²b - 2ab²)(b + 3a)

→ a²b * b + a²b * 3a - 2ab² * b - 2ab² * 3a

→ a²b² + 3a³b - 2ab³ - 6a²b²

→ (-5a²b²) + 3a³b - 2ab³

now verify the result by taking a = 2 , b = (-1) ,

→ (a²b - 2ab²)(b + 3a) = (-5a²b²) + 3a³b - 2ab³

→ [2² * (-1) - 2 * 2 * (-1)²] * {(-1) + 3 * 2} = (-5) * 2² * (-1)² + 3 * 2³ * (-1) - 2 * 2 * (-1)³

→ [(-4) - 4] * 5 = (-20) - 24 + 4

→ (-40) = (-40) (Hence verified) .

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