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):
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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
