Use the commutative and distributive properties of multiplication to write an equivalent expression to 2(x−3).
Hint and example:
distributive property means the equivalence of the following expressions:
a(b+c) = ab + ac
Example:
5(x+4) = 5x + 5(4) = 5x + 20
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To use the commutative and distributive properties of multiplication, we can rearrange and combine terms in an expression.
First, let's apply the distributive property by multiplying 2 with each term inside the parentheses:
2(x−3) = 2 * x - 2 * 3
This simplifies to:
2x - 6
Now, let's apply the commutative property to rearrange the terms:
2x - 6 = -6 + 2x
Therefore, the equivalent expression to 2(x−3) using the commutative and distributive properties of multiplication is -6 + 2x.