Question

x⁴-6x²y²+y⁴ factories please don't spam and do fast it is very important​

Answer 1

To do:

Factories

Solution:

${x}^{4} - 6 {x}^{2} {x}^{2} + {y}^{4}$

We have to split the middle to factories it.

${x}^{4} - 2 {x}^{2} {y}^{2} + {y}^{4} - 4 {x}^{2} {y}^{2}$

[Using 1]

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

[Using 2]

$( {x}^{2} - {y}^{2} + 2xy)( {x}^{2} - {y}^{2} + 2xy)$

Hence, The final answer is $( {x}^{2} - {y}^{2} + 2xy)( {x}^{2} - {y}^{2} + 2xy)$

Important Formula: