Factor out the greatest common factor5x2 y3 z2 10 x3 y4 z3

Factor out the greatest common factor.5x^2 y^3 z^2 - 10 x^3 y^4 z^3 + 25 x^5 y^2.

Solution

Given

5 x^2y^3z^2 - 10 x^3y^4z^3 + 25 x^5y^2

Taking common exponents of 5, x ,y,z , we get

5x^2y^2 ( y.z^2 - 2x.y^2.z^3 + 5x^3)

Hence the greatest commong factor is

5.x^2.y^2

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