Factor x^2-10xy+24y^2

Problem

x2−10*x*y+24*y2

Solution

1. Identify the expression as a quadratic trinomial in the form a*x2+b*x*y+c*y2 where a=1 b=−10 and c=24

2. Find two numbers that multiply to the constant term 24 and add to the middle coefficient −10

3. Determine the factors by testing pairs of numbers that multiply to 24 (−4)×(−6)=24 and (−4)+(−6)=−10

4. Write the factored form using these two numbers as coefficients for the y terms within the binomials.

Final Answer

x2−10*x*y+24*y2=(x−4*y)*(x−6*y)

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