An algebra problem by Yujie Cai

Algebra Level pending

( 2 m x 2 x 2 + 3 x + 1 2mx^2-x^2+3x+1 )-( 5 x 2 5 y 2 + 3 x 5x^2-5y^2+3x ),the value of the polynomial is independent of x x . what is the value of 2 m 3 ( 3 m 2 + ( 4 m 5 ) + m 9 ) 2m^3-(3m^2+(4m-5)+m-9)


The answer is 26.

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1 solution

Hana Wehbi
Jun 15, 2017

Since the calculation of our expression ( 2 m x 2 x 2 + 3 x + 1 (2mx^2-x^2+3x+1 ) - ( 5 x 2 5 y 2 + 3 x 5x^2-5y^2+3x ) should be independent of x x , m = 3 m=3 so the x 2 x^2 can be canceled. Plugging m = 3 m=3 in the function of m m which is 2 m 3 ( 3 m 2 + ( 4 m 5 ) + m 9 ) 2m^3-(3m^2+(4m-5)+m-9) we get a value of 26 26 .

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