Math Problem Statement

Simplify the expression: 5 / (x^2 - 4x + 4)

Solution

I have opened the image you uploaded. Let me extract the mathematical content and solve the problems visible on it. I'll now proceed to interpret and provide solutions for the visible equations or exercises.The image appears to show a screenshot of a math-related problem set, potentially from an online platform, with several algebraic equations and expressions.

Here is a breakdown of the problems and their solutions based on the image:

Problem 1:

It shows something like: 5x24x+4\frac{5}{x^2 - 4x + 4} This expression seems to need factoring or simplification.

Solution: The denominator x24x+4x^2 - 4x + 4 is a perfect square trinomial, which factors as: x24x+4=(x2)2x^2 - 4x + 4 = (x - 2)^2 Thus, the expression

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Factoring
Rational Expressions

Formulas

x^2 - 4x + 4 = (x - 2)^2

Theorems

Factoring of Perfect Square Trinomials

Suitable Grade Level

Grades 9-12