( 5 x 3 - 3 ) - ( - 4 x 3 + 8 ) The given expression is

Question

( 5 x 3 - 3 ) - ( - 4 x 3 + 8 ) The given expression is equivalent to b x 3 - 11 , where b is a constant. What is the value of b ?

Accepted Answer

The correct answer is 9 . The given expression can be rewritten as 5 x 3 - 3 + - 1 - 4 x 3 + 8 . By applying the distributive property, this expression can be rewritten as 5 x 3 - 3 + 4 x 3 + - 8 , which is equivalent to 5 x 3 + 4 x 3 + - 3 + - 8 . Adding like terms in this expression yields 9 x 3 - 11 . Since it's given that 5 x 3 - 3 - - 4 x 3 + 8 is equivalent to b x 3 - 11 , it follows that 9 x 3 - 11 is equivalent to b x 3 - 11 . Therefore, the coefficients of x 3 in these two expressions must be equivalent, and the value of b must be 9 .

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