Problem preview

A-SSE.1.b Warmup M3-015-A07-V03

Interpret complex polynomial/rational expressions by treating parts as single units.

Rewrite using a repeated sub-expression as u

Problem

Let \(u~=~1/(x~+~2)\) in \(1/(x~+~2)~+~3/(x~+~2)^2\). Rewrite the expression in \(u\) and state the inherited restriction on \(x\).

Answer choices

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The expression becomes u+3u², with the inherited restriction x≠-2.

The expression becomes u+3u, with the inherited restriction x≠-2.

The expression becomes u+3u² with no inherited restriction.

The expression becomes 1/u+3/u², with u≠0 and x≠-2.

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Curriculum context

Course: Math III
Standard: A-SSE.1.b
Category: Algebra
Domain: Seeing Structure in Expressions
Objective: Interpret complex polynomial/rational expressions by treating parts as single units.
Problem type: Rewrite using a repeated sub-expression as u