Verify if a²+9a-20 Equals (a+4)(a-5): Equation Check

Is the equation correct?

a2+9a−20=(a+4)(a−5) a^2+9a-20=(a+4)(a-5)

❤️ 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 Are the expressions equal?
00:03 Let's properly open parentheses and multiply each factor by each factor
00:20 Let's calculate the products
00:29 Let's compare the terms of the expressions
00:38 Let's group the factors
00:42 We can see that the expressions are not equal due to coefficient A
00:49 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

Is the equation correct?

a2+9a−20=(a+4)(a−5) a^2+9a-20=(a+4)(a-5)

2

Step-by-step solution

We solve the right side of the equation using the extended distributive property:(a+b)×(c+d)=ac+ad+bc+bd (a+b)\times(c+d)=ac+ad+bc+bd

(a+4)(a−5)=a2−5a+4a−20 (a+4)(a-5)=a^2-5a+4a-20

a2−a−20 a^2-a-20

That is, answer D is the correct one.

3

Final Answer

No, −a -a instead of +9a +9a

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

Verify the Polynomial Equality: (b-3)(b+7) = b²+4b-21
Click to solve
Verify the Equality: (14+a)(a-2) = -2a²+12a-28
Click to solve