Question

What is the most simplified expression for 4c^2d+3dc-2(dc^2+cd)+6c^2d^2

Answer 1

What is the most simplified expression for 4c^2d+3dc-2(dc^2+cd)+6c^2d^2

Answer 2

The most simplified expression for the given expression is

`2c^(2)d+5dc+6c^(2)d^(2)`

Explanation:

Given : Expression
`4c^2d+3dc-2(dc^2+cd)+6c^2d^2`

To find : What is the most simplified expression?

Solution :

Step 1 - Write the expression

`4c^2d+3dc-2(dc^2+cd)+6c^2d^2`

Step 2 - Apply distributive property,
`a(b+c)=ab+ac`

`4c^(2)d + 3dc-2dc^(2)+2cd+ 6c^(2)d^(2)`

Step 3 - Add like terms,

`(4c^(2)d -2dc^(2))+ (3dc+2cd) + 6c^(2)d^(2)`

`2c^(2)d+5dc+6c^(2)d^(2)`

Therefore, The most simplified expression for the given expression is

`2c^(2)d+5dc+6c^(2)d^(2)`