Mathematics
Grade10
Easy
Question
Factor out the GCF from the polynomial. 15x3y – 10x2y3
- 5x2y(3x – 2y2)
- 5x2y(-3x + 2y2)
- 5x2y(3x + 2y2)
- 5xy2(3x – 2y2)
Hint:
In this question, we have to find the GCF (Greatest Common Factor) of the monomials. 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 = 35xxxy
Factors of (-10x2y3 ) = (-2) 5xxyyy
Common factors are 5, x, x, y
GCF = 5x x y = 5x2y.
So,
=5 (3x – 2y2)
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