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

Question

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

(xy)2 (x-y)^2

Video Solution

Solution Steps

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 Solution

We use the abbreviated multiplication formula:

(xy)(xy)= (x-y)(x-y)=

x2xyyx+y2= x^2-xy-yx+y^2=

x22xy+y2 x^2-2xy+y^2

Answer

x22xy+y2 x^2-2xy+y^2