(3x+1)x(x)

To simplify the expression (3x + 1)x(x), we will first multiply 3x and x:

(3x + 1)x^2

Then, we simplify further by distributing the x^2 to both terms inside the parentheses:

3x^3 + x^2

To simplify the expression (3x+1)x(x), follow these steps:

Step 1: Distribute (3x+1) to the terms inside the parentheses:
(3x+1)x(x) = (3x)(x) + (1)(x)

Step 2: Simplify the resulting terms:
(3x)(x) = 3x^2
(1)(x) = x

Step 3: Combine the simplified terms:
(3x+1)x(x) = 3x^2 + x

Therefore, the simplified expression is 3x^2 + x.

To simplify the expression (3x+1)x(x), we need to follow the order of operations, also known as PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

First, we can remove the parentheses by multiplying (3x+1) by x:

(3x+1)x(x) = (3x+1) * x^2

Next, we need to apply the distributive property by multiplying each term inside the parentheses by x^2:

(3x+1) * x^2 = 3x * x^2 + 1 * x^2

Now, we can simplify each term separately:

3x * x^2 = 3x^(1+2) = 3x^3

1 * x^2 = x^2

Putting it all together, we have:

(3x+1)x(x) = 3x^3 + x^2

So, the simplified expression is 3x^3 + x^2.