Solve (x-2)² + (x-3)² = : Expanding Square Binomials

(x−2)2+(x−3)2= (x-2)^2+(x-3)^2=

❤️ 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 Simply
00:03 We'll use the shortened multiplication formulas to open the brackets
00:11 X is the A in the formula
00:17 And 2 is the B in the formula
00:30 We'll use the same formula where X is A and 3 is B
00:40 Let's solve the multiplications
00:53 Let's group the factors
01:06 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

(x−2)2+(x−3)2= (x-2)^2+(x-3)^2=

2

Step-by-step solution

In order to solve the question, we need to know one of the shortcut multiplication formulas:

(x−y)2=x2−2xy+y2 (x−y)^2=x^2−2xy+y^2

We apply the formula twice:

(x−2)2=x2−4x+4 (x-2)^2=x^2-4x+4

(x−3)2=x2−6x+9 (x-3)^2=x^2-6x+9

Now we add the two together:

x2−4x+4+x2−6x+9= x^2-4x+4+x^2-6x+9=

2x2−10x+13 2 x^2-10x+13

3

Final Answer

2x2−10x+13 2x^2-10x+13

Practice Quiz

Test your knowledge with interactive questions

Declares the given expression as a sum

\( (7b-3x)^2 \)

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Short Multiplication Formulas 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

Square of Difference

Simplify the Quadratic Expression: 9x²-12x+4
Click to solve
Solve x²-2x+1=9: Using the Abbreviated Multiplication Formula
Click to solve