Respuesta :
Value of an algebraic expression depends on the values of its variables usually. The value of [tex]2x^2[/tex] for given condition is obtained to be 18
How to evaluate a given mathematical expression with variables if values of the variables are known?
You can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.
For the given case, we are given that [tex]x - 1 =2[/tex]
By this, we can get the value of the variable 'x' as:
[tex]x - 1 = 2\\\text{Adding 1 on both the sides, we get}\\x = 3[/tex]
Now, putting 3, in place of x, in expression [tex]2x^2[/tex], we get:
[tex]2x^2 = 2 \times (3^2) = 2 \times 9 = 18\\[/tex]
( sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together, thus, [tex]2x^2 = 2 \times x^2[/tex])
Thus, the value of [tex]2x^2[/tex] for given condition is obtained to be 18
Learn more about evaluating expressions here:
https://brainly.com/question/2753269