Question

What is another way to write the expression ​t⋅(14−5)​?

O (t⋅14)⋅5
O (t⋅14)−5
O 5 t⋅14−5
O (t⋅14)−(t⋅5)

Answer 1

The expression t⋅(14−5) can be rewritten as (t⋅14) − (t⋅5) by using the distributive property, which involves multiplying 't' by each term inside the parentheses and then subtracting the results.

Step-by-step explanation:

The question relates to simplifying or rewriting an algebraic expression, specifically t⋅(14−5). One important property of algebra that can be used here is the distributive property, which states that a(b + c) = ab + ac. Applying this property to the given expression, we can distribute the 't' across the terms within the parentheses.

So, t⋅(14−5) becomes t⋅14 - t⋅5. Therefore, another way to write t⋅(14−5) is (t⋅14) − (t⋅5), which adheres to the distributive property.

Let's break this down step-by-step:

1. Multiply 't' by 14 to get t⋅14.
2. Then, multiply 't' by 5 to get t⋅5.
3. Subtract the second product from the first to complete the distribution: t⋅14 - t⋅5.