Use the Commutative Property of Addition to rewrite the algebraic expression: 4x2+8x

3 answers

The Commutative Property of Addition states that changing the order of the addends does not change the sum.

For the expression \(4x^2 + 8x\), we can rewrite it by changing the order of the terms. Thus, we can express it as:

\[ 8x + 4x^2 \]

Both expressions \(4x^2 + 8x\) and \(8x + 4x^2\) are equivalent due to the Commutative Property of Addition.

Use the Commutative Property of Multiplication to rewrite the algebraic expression: a20⋅x3

The Commutative Property of Multiplication states that changing the order of the factors does not change the product. For the expression \(a^{20} \cdot x^3\), we can rewrite it by changing the order of the factors.

Thus, we can express it as:

\[ x^3 \cdot a^{20} \]

Both expressions \(a^{20} \cdot x^3\) and \(x^3 \cdot a^{20}\) are equivalent due to the Commutative Property of Multiplication.