Solve a(ab+3): Evaluating the Expression When a=-1 and b=5

a(ab+3)= a\cdot(a\cdot b+3)=

Replace and calculate if a=1,b=5 a=-1,b=5

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:08 Let's set up and calculate the problem.
00:11 We'll assign values based on the data we have. Remember to pay attention to parentheses.
00:38 A negative times a positive is always negative.
00:48 Always calculate what's inside the parentheses first.
01:00 A negative times a negative is always positive.
01:08 And that's how we find the solution to this question.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

a(ab+3)= a\cdot(a\cdot b+3)=

Replace and calculate if a=1,b=5 a=-1,b=5

2

Step-by-step solution

Let's begin by inserting the numbers into the formula:

1×(1×5+3)= -1\times(-1\times5+3)=

We must remember the following rule:

(x)×(+x)=x (-x)\times(+x)=-x

Let's now solve the expression inside of the parentheses:

(1×5+3)= (-1\times5+3)=

1×5=5 -1\times5=-5

5+3=2 -5+3=-2

We should obtain the following expression:

1×(2)= -1\times(-2)=

Let's again remember the rule:

(x)×(x)=+x (-x)\times(-x)=+x

Therefore, the correct answer is:

2 2

3

Final Answer

2 2

Practice Quiz

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What will be the sign of the result of the next exercise?

\( (-2)\cdot(-4)= \)

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