The first expression 6d^2+5cd-3dc+8 can be simplified by combining like terms
Further explanation:
We will see each expression one by one to check whether it can be simplified or not
So
[tex]6d^2+5cd-3dc+8\\[/tex]
We can see that there are two terms that contain c and d's product.
3dc can also be written as 3cd as multiplication is always commutative and order doesn't matter.
So,
[tex]6d^2+5cd-3dc+8\\=6d^2+5cd-3cd+8\\=6d^2+2cd+8[/tex]
Second expression is:
[tex]12c^2-8d^2c+3dc+4[/tex]
We can see that all the terms are different so no terms can be combined to simplify the expression
Third expression:
[tex]7d^2-3c^2+6d−c\\[/tex]
There are no alike terms which can be combined so the expression cannot be simplified
Fourth expression:
[tex]16c^2+8cd+7c-8d[/tex]
No alike terms which means the expression cannot be further simplified
The first expression 6d^2+5cd-3dc+8 can be simplified by combining like terms
Keywords: Expressions, simplification
Learn more about expressions at:
#LearnwithBrainly
Answer:
6d2+5cd−3dc+8
Step-by-step explanation:
5cd is the same as 5dc, and so it can be combined with 3dc, and vice versa.
