Mathematics
Grade10
Easy

Question

Factor out the GCF from the polynomial. 15x3y – 10x2y3

  1. 5x2y(3x – 2y2)
  2. 5x2y(-3x + 2y2)
  3. 5x2y(3x + 2y2)
  4. 5xy2(3x – 2y2)

hintHint:

In this question, we have to find the GCF (Greatest Common Factor) of the monomials15 x cubed y minus 10 x squared y cubed. For this firstly, we will find the factors of the monomial given then select the common factors of both. The product of the common factors will be the required GCF.

The correct answer is: 5x2y(3x – 2y2)


    Factors of 15x3y = 3cross times5cross timesxcross timesxcross timesxcross timesy
    Factors of (-10x2y3  ) = (-2) cross times5cross timesxcross timesxcross timesycross timesycross timesy
    Common factors are 5, x, x, y
    GCF = 5cross timesxcross times xcross times y = 5x2y.
    So, 15 x cubed y minus 10 x squared y cubed
    =5x squared y (3x – 2y2)

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