The first step in solving the first equation is different from the first step of solving the second equation because,
In the first equation, start by squaring both sides to eliminate the radical, but in the second equation, start by adding 1 to both sides to isolate the radical.
Thus the option B is the correct option.
Algebraic expression are the expression which consist the variables, coefficients of variables and constants.
The algebraic expression are used represent the general problem in the mathematical way to solve them.
Given information-
The first equation given in the problem is,
[tex](x-1)^2=8[/tex]
The above equation can be solve using the algebraic formula of whole square of two number as,
[tex](x-1)^2=8\\x^2+1^2-2x=8\\x^2-2x-8+1=0\\x^2-2x-7=0[/tex]
The first equation can be solved by putting square root both side as,
[tex]\sqrt{(x-1)^2}=\sqrt{8}\\(x-1)=\sqrt{8}\\x=2\sqrt{3}+1[/tex]
The second equation given in the problem is,
[tex]x^2-1^2=8[/tex]
The above equation can be solve using the algebraic formula of difference of the square of two number as,
[tex]x^2-1=8\\x^2=8+1\\x^2=9\\x=\pm3[/tex]
Hence, The first step in solving the first equation is different from the first step of solving the second equation because,
In the first equation, start by squaring both sides to eliminate the radical, but in the second equation, start by adding 1 to both sides to isolate the radical.
Thus the option B is the correct option.
Learn more about the algebraic expression here;
https://brainly.com/question/2164351
