Factorize each of the following expressions:
10x⁴y-10xy⁴
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The algebraic expression is given as : 10x⁴y -10xy⁴
Taking 10xy as common :
= 10xy (x³ - y³)
In order to factorise the given algebraic expression as the differences of two cubes we use the following identities - a³ - b³ = (a - b) (a² + ab + b²) :
Here a = x and b = y
= 10xy (x - y) (x² + xy + y²)
Hence, the factorization of an algebraic expression is 10xy (x - y) (x² + xy + y²).
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Answer:
10xy(x^3-y^3)
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