Question

Simplify: (x^2 - y^2)^2​

Answer 1

Answer:

Step-by-step explanation:

Apply the formula  a  

2

−b  

2

=(a+b)(a−b)  to simplify the expression.

(x  

2

+y  

2

−z  

2

)  

2

−(x  

2

−y  

2

+z  

2

)  

2

 

=(x  

2

+y  

2

−z  

2

+x  

2

−y  

2

+z  

2

){x  

2

+y  

2

−z  

2

−(x  

2

−y  

2

+z  

2

)}

=(2x  

2

)(x  

2

+y  

2

−z  

2

−x  

2

+y  

2

−z  

2

)

=(2x  

2

)(2y  

2

−2z  

2

)

=(4x  

2

)(y  

2

−z  

2

)

=4x  

2

y  

2

−4x  

2

z  

2

Answer 2

Answer:

x^4-2x²y²+y^4

Step-by-step explanation:

(x^2 - y^2)^2​ can be also written as the= (x²-y²)²or (x²-y²)(x²-y²)

now it can be more simply written as x²(x²-y²)-y²(x²-y²)

now, x^4-x²y²-x²y²+y^4⇒ x^4-2x²y²+y^4

so the answer is been  x^4-2x²y²+y^4

hence, i have prooved my answer!!!!!

i hope you will get some help from this!!!!!