Find Equivalent Expressions to (x-y)²: Perfect Square Expansion

Choose the expression that has the same value as the following:

(x−y)2 (x-y)^2

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Simply
00:03 To square something means to multiply it by itself, even if it's in parentheses
00:12 Open parentheses properly
00:15 Make sure to multiply each factor by each factor
00:34 Solve the multiplications
00:51 Negative times negative always equals positive
01:00 Collect terms
01:03 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

Choose the expression that has the same value as the following:

(x−y)2 (x-y)^2

2

Step-by-step solution

We use the abbreviated multiplication formula:

(x−y)(x−y)= (x-y)(x-y)=

x2−xy−yx+y2= x^2-xy-yx+y^2=

x2−2xy+y2 x^2-2xy+y^2

3

Final Answer

x2−2xy+y2 x^2-2xy+y^2

Practice Quiz

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Choose the expression that has the same value as the following:

\( (x-7)^2 \)

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