Question

$(x^2 + 3x - 6) + (x + 11)$
which of the following is equivalent to the given expression?
choose 1 answer:
a $x^2 + 4x + 5$
b $x^2 + 4x + 17$
c $2x^2 + 3x + 5$
d $2x^2 + 3x + 17$

Explanation:

Step1: Remove parentheses

To simplify the expression \((x^{2}+3x - 6)+(x + 11)\), we first remove the parentheses. Since there is a plus sign in front of both parentheses, the signs of the terms inside remain the same. So we get \(x^{2}+3x - 6+x + 11\).

Step2: Combine like terms

Next, we combine the like terms. For the \(x\)-terms: \(3x+x = 4x\). For the constant terms: \(-6 + 11=5\). The \(x^{2}\) term remains as it is since there are no other \(x^{2}\) terms to combine with. So putting it all together, we have \(x^{2}+4x + 5\).

Answer:

A. \(x^{2}+4x + 5\)