Hey is a destructive property to prove that these algebraic pressure expressions are equivalent explain your answer in one sentence for each expression and show your work expression one x - 5 x + 3 expression 2 two x power 2 minus x power 2 - 2x -20 + 9

To prove that the two algebraic expressions are equivalent, we can simplify each expression and compare the results.

Expression 1: \( x - 5x + 3 \)

1. Combine like terms: \[ x - 5x = -4x \] So, \[ -4x + 3 \]

Expression 2: \( 2x^2 - x^2 - 2x - 20 + 9 \)

1. Start by combining the \( x^2 \) terms: \[ 2x^2 - x^2 = x^2 \]
2. Now, simplify the expression: \[ x^2 - 2x - 20 + 9 = x^2 - 2x - 11 \]

Comparison:

• Expression 1: \( -4x + 3 \)
• Expression 2: \( x^2 - 2x - 11 \)

Since neither expressions simplify to a common form, they are not equivalent.

In conclusion: Expression 1 yields a linear expression while Expression 2 yields a quadratic expression, indicating they are algebraically distinct.