SOLUTION: State the GCF of the terms in the expression 24X(small 3)Y(small 6)-144X(small 2)Y(small 2). Then factor out the GCF.

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Question 1183024: State the GCF of the terms in the expression 24X(small 3)Y(small 6)-144X(small 2)Y(small 2). Then factor out the GCF.
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
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State the GCF of the terms in the expression 24X(small 3)Y(small 6)-144X(small 2)Y(small 2). Then factor out the GCF.
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Your expression is  24*x^3*y^6 - 144*x^2*y^2.


The GCF of the coefficients is 24.


The GCF of x-factors is  x^2.


The GCF of y-factors is  y^2.


The GCF in whole is  24*x^2*y^2.


The decomposition is  24*x^3*y^6 - 144*x^2*y^2 = 24*x^2*y^2*(x*y^4 - 6).     ANSWER

Solved.



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