Questions: (x^2-9x+2)+2(3x^2+x-5)=

Transcript text: $\left(x^{2}-9 x+2\right)+2\left(3 x^{2}+x-5\right)=$

Solution

Solution Steps

To simplify the given expression, we need to distribute the constants into the parentheses and then combine like terms. This involves multiplying each term inside the parentheses by the constants outside and then adding or subtracting the resulting terms.

Step 1: Distribute Constants into Parentheses

The given expression is $(x^2 - 9x + 2) + 2(3x^2 + x - 5)$. First, distribute the constant $2$ into the second set of parentheses: \[ 2(3x^2 + x - 5) = 6x^2 + 2x - 10 \]

Step 2: Combine Like Terms

Now, combine the terms from both parts of the expression: \[ (x^2 - 9x + 2) + (6x^2 + 2x - 10) \] Combine the like terms: