Quadratic form of the following expression which is equivalent to the expression given in the image below is,
[tex]x^2+6x-15[/tex]
What is equivalent expression?
Equivalent expression is the expression, which has the same result as the original expression, but the way of representation of equivalent expressions is different.
Given information-
The given expression in the problem is,
[tex](3x^2 + 2x-8)-(2x^2-4x+7)[/tex]
Let the equivalent expression to the above expression is [tex]f(x)[/tex]. Thus,
[tex]f(x)=(3x^2 + 2x-8)-(2x^2-4x+7)[/tex]
In the above polynomial equation the highest power of the unknown variable is 2. The it is a quadratic form equation.
Lets open the bracket by multiplying the sign inside to simplify the equation as,
[tex]f(x)=3x^2 + 2x-8-2x^2+4x-7[/tex]
To add or substract two polynomial equation, the same power variable should be added or substract from each other.
Thus, group the same power variable as,
[tex]f(x)=3x^2-2x^2 + 2x+4x-8-7[/tex]
Simplify it further as,
[tex]f(x)=x^2+6x-15[/tex]
Thus the equivalent expression to the given expression is.
[tex]x^2+6x-15[/tex]
Learn more about the equivalent expression here;
https://brainly.com/question/24734894
