Problem

$(x+6)(x+3)$

Answer

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Answer

So, the expanded form of $(x+6)(x+3)$ is \(\boxed{x^2 + 9x + 18}\).

Steps

Step 1 ：Let's solve the expression $(x+6)(x+3)$.

Step 2 ：We use the formula for multiplying binomials, which is $(a+b)(c+d) = ac + ad + bc + bd$.

Step 3 ：In this case, $a=x$, $b=6$, $c=x$, and $d=3$.

Step 4 ：Substituting these values into the formula, we get $x*x + x*3 + 6*x + 6*3$.

Step 5 ：Simplifying this, we get $x^2 + 9x + 18$.

Step 6 ：So, the expanded form of $(x+6)(x+3)$ is \(\boxed{x^2 + 9x + 18}\).

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