Problem

$(x+1)(3 x-1)$

Answer

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Answer

So, the expanded form of the expression $(x+1)(3 x-1)$ is \(\boxed{3x^2 + 2x - 1}\).

Steps

Step 1 ：Let's solve the expression $(x+1)(3 x-1)$.

Step 2 ：We can use the distributive property to multiply each term in the first binomial by each term in the second binomial.

Step 3 ：First, multiply the first terms: $x * 3x = 3x^2$.

Step 4 ：Second, multiply the outer terms: $x * -1 = -x$.

Step 5 ：Third, multiply the inner terms: $1 * 3x = 3x$.

Step 6 ：Finally, multiply the last terms: $1 * -1 = -1$.

Step 7 ：Combine like terms: $3x^2 - x + 3x - 1 = 3x^2 + 2x - 1$.

Step 8 ：So, the expanded form of the expression $(x+1)(3 x-1)$ is \(\boxed{3x^2 + 2x - 1}\).

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