Evaluate the following expression: sqrt(x^(3)+4x^(2)+4x+2)-x=2.

Isolate square root: First, isolate the square root on one side of the equation by adding x to both sides. sqrt(x^3 + 4x^2 + 4x + 2) = x + 2Square both sides: Next, square both sides of the equation to eliminate the square root. (x^3 + 4x^2 + 4x + 2) = (x + 2)^2Expand right side: Expand the right side of the equation. (x^3 + 4x^2 + 4x + 2) = x^2 + 4x + 4

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Evaluate the following expression:
sqrt(x^(3)+4x^(2)+4x+2)-x=2.

Evaluate the following expression: $\newline$ $\sqrt{x^{3}+4x^{2}+4x+2}-x=2$ .

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Algebra 2

Composition of linear and quadratic functions: find a value

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Q. Evaluate the following expression:

\newline

\sqrt{x^{3}+4x^{2}+4x+2}-x=2

Isolate square root: First, isolate the square root on one side of the equation by adding $x$ to both sides. $\sqrt{x^3 + 4x^2 + 4x + 2} = x + 2$
Square both sides: Next, square both sides of the equation to eliminate the square root. $\newline$ $(x^3 + 4x^2 + 4x + 2) = (x + 2)^2$
Expand right side: Expand the right side of the equation. $\newline$ $(x^3 + 4x^2 + 4x + 2) = x^2 + 4x + 4$