### Home > A2C > Chapter 2 > Lesson 2.2.1 > Problem 2-122

2-122.

For each of the following expressions, find at least three equivalent expressions. Which do you consider to be the simplest? Homework Help ✎

(2

*x*− 3)^{2}+ 5

Rewrite showing (2*x* − 3)^{2} as a product.

(2*x* − 3)(2*x* − 3) + 5

Multiply using a generic rectangle.

Simplify the expression.

(4*x*^{2} + (−6*x*) + (−6*x*) + 9) + 5

(4x^{2} + (−12*x*) + 9) + 5

Simplest Expression: 4*x*^{2} − 12*x* + 14

Start by writing the expression in the long form.

Regroup using the Associative and Commutative properties of multiplication.