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

Question

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

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

Video Solution

Solution Steps

00:09 Let's set up our equation and calculate step by step.
00:13 We'll put in the right values as given. Remember to always notice those parentheses.
00:39 A positive number times a negative one, will always give a negative result.
00:46 Next, calculate everything that's inside the parentheses first.
00:52 Remember to do multiplication and division before moving on to addition and subtraction.
00:58 Let's keep solving this, following the correct order of operations.
01:02 And that's how we find the solution to our question. Well done!

Step-by-Step Solution

Let's substitute the numbers into the formula:

2+(3)×(2+1)= 2+(-3)\times(2+1)=

Let's remember the rule:

+(x)=x +(-x)=-x

Let's write the exercise in the appropriate form:

23×(2+1)= 2-3\times(2+1)=

Let's solve the expression in parentheses:

2+1=3 2+1=3

Now we get the exercise:

23×3= 2-3\times3=

Now let's solve the multiplication exercise:

3×3=9 3\times3=9

Now we get the exercise:

29= 2-9=

Therefore, the answer is:

7 -7

Answer

7 -7