Question

Write two different expressions that are equivalent to the given expression: (3x - 2)^2 + 5x - 1.

A) (3x - 2)(3x - 2) + 5x - 1 and 9x^2 - 12x + 4 + 5x - 1
B) 9x^2 - 6x - 4 + 5x - 1 and 3x^2 - 7x - 3
C) (3x - 2)(3x - 2) + 10x - 2 and 9x^2 - 12x + 4 + 10x - 2
D) 9x^2 - 12x + 4 + 5x - 1 and 9x^2 - 7x + 3

Answer 1

To find two different expressions that are equivalent to (3x - 2)^2 + 5x - 1, we can expand the square of the first term and then combine like terms.

Step-by-step explanation:

To find two different expressions that are equivalent to the given expression, (3x - 2)^2 + 5x - 1, we can expand the square of the first term and then combine like terms.

Expression 1:

(3x - 2)(3x - 2) + 5x - 1

Simplifying this expression, we get 9x^2 - 12x + 4 + 5x - 1.

Expression 2:

9x^2 - 12x + 4 + 5x - 1

So, the two different expressions that are equivalent to the given expression are (3x - 2)(3x - 2) + 5x - 1 and 9x^2 - 12x + 4 + 5x - 1.