Solve the Expression: a + b(a+1) with a=2 and b=-3

Question

$a+b\cdot(a+1)=$

Replace and calculate if $a=2,b=-3$

00:00 Set up and calculate

00:04 We'll substitute appropriate values according to the given data, paying attention to parentheses

00:30 Positive times negative always equals negative

00:37 Let's calculate what's in the parentheses

00:43 Always solve multiplication and division before addition and subtraction

00:48 We'll continue solving according to proper order of operations

00:51 And this is the solution to the question

Let's substitute the numbers into the formula:

$2+(-3)\times(2+1)=$

Let's remember the rule:

$+(-x)=-x$

Let's write the exercise in the appropriate form:

$2-3\times(2+1)=$

Let's solve the expression in parentheses:

$2+1=3$

Now we get the exercise:

$2-3\times3=$

Now let's solve the multiplication exercise:

$3\times3=9$

Now we get the exercise:

$2-9=$

Therefore, the answer is:

$-7$

$-7$