Question

Which is the best description of the equivalency of the two expressions? Expression 1 Expression 2 5 x squared minus 2 x minus 4 + 6 x + 3 6 x squared minus 6 x + 6 minus x squared + 10 x minus 7 The two expressions are not equivalent because when x = 2, the two expressions do not have the same value. The two expressions are not equivalent because when they are simplified, they do not have the same coefficients for the x squared and x terms. They are equivalent because the sum of the constants is the same in both expressions. They are equivalent because when x = 2, the two expressions have the same value.

Answer 1

d

Explanation:

Answer 2

The correct option is (D).

Explanation:

The two expressions are:

`\text{Exp}_(1)=5x^(2)-2x-4+6x+3\\\\\text{Exp}_(2)=6x^(2)-6x+6-x^(2)+10x-7`

On simplifying both the expressions we get:

`\text{Exp}_(1)=5x^(2)+4x-1\\\\\text{Exp}_(2)=5x^(2)+4x-1`

Compute the value of both expressions for x = 2 as follows:

`\text{Exp}_(1)=5(2)^(2)+4(2)-1=27\\\\\text{Exp}_(2)=5(2)^(2)+4(2)-1=27`

The value of both expressions are same for x = 2.

Thus, the correct option is:

"They are equivalent because when x = 2, the two expressions have the same value."