Solve (2x+3)(-5-x): Binomial Expression Multiplication

Solve the following equation:

(2x+3)(−5−x)= (2x+3)(-5-x)=

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solution
00:03 Open brackets properly, multiply each factor by each factor
00:28 Let's calculate the multiplications
01:00 Positive times negative always equals negative
01:13 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following equation:

(2x+3)(−5−x)= (2x+3)(-5-x)=

2

Step-by-step solution

We will use the extended distribution law as seen below in order to simplify the given expression:

(a+b)(c+d)=ac+ad+bc+bd (a+b)(c+d)=ac+ad+bc+bd

We will begin by performing the multiplication between the pairs of parentheses, using the mentioned distribution law. Then we will proceed to combine like terms if possible. We'll do this whilst taking into account the correct multiplication of signs:

(2x+3)(−5−x)=−10x−2x2−15−3x=−2x2−13x−15 (2x+3)(-5-x)= \\ -10x-2x^2-15-3x=\\ \boxed{-2x^2-13x-15}

Therefore, the correct answer is answer D.

3

Final Answer

−2x2−13x−15 -2x^2-13x-15

Practice Quiz

Test your knowledge with interactive questions

\( (3+20)\times(12+4)= \)

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Algebraic Technique questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations

Extended Distributive Property

Solve (2x-y)(4-3x): Expanding Binomial Products Step-by-Step
Click to solve
Solve (3b+7a)(-5a+2b): Step-by-Step Binomial Multiplication
Click to solve