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

Answer:

The most simplified expression for the given expression is

$2c^{2}d+5dc+6c^{2}d^{2}$

Step-by-step 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

$2c^{2}d+5dc+6c^{2}d^{2}$