Question

Combine like terms to create an equivalent expression -3.6-1.9t+1.2+5.1t

Answer 1

`3.2t-2.4`

Explanation:

The polynomial given for simplification is:

`-3.6-1.9t+1.2+5.1t`

Now, we combine like terms using the commutative property of addition.

The commutative property of addition states that:

`a+b=b+a`

So, the order can be shuffled when we add terms.

The terms containing 't' are grouped together and the constant terms are grouped together. This gives,

`-1.9t+5.1t+1.2-3.6`

Now, we group them using associative property and converse of distributive property as:

`(-1.9+5.1)t+(1.2-3.6)`

Simplifying the above expression, we get:

`(-1.9+5.1)t+(1.2-3.6)\\3.2t-2.4`

Therefore, the simplified form is
`3.2t-2.4`