Question

factories the following expression x⁴–2x²y²+y⁴​

Answer 1

Answer:

(x-y)^2 is the correct answer

Step-by-step explanation:

by using the identity,

» (a-b)^2 =(a^2-2ab+b^2)

»(x^2-y^2)^2= (x^2)^2-(2×x^2×y^2)+(y^2)^2

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Answer 2

Answer:

${x}^{4} - 2 {x}^{2} {y}^{2} + {y}^{2} \\ = {( {x}^{2} )}^{2} - 2 {x}^{2} {y}^{2} + {( {y}^{2} )}^{2} \\ = {( {x}^{2} - {y}^{2} ) }^{2} \\ = {((x + y)(x - y))}^{2} \\ = (x + y)(x - y)(x - y)(x + y) \\ = {(x + y)}^{2} {(x - y)}^{2}$

Step-by-step explanation:

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