Question

factroise x^4+y^4-3x^2y^2​

Answer 1

Step-by-step explanation:

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$x4 + y4 - 3x2y2 </u></em></strong></p><p><strong><em><u>[tex]x4 + y4 - 3x2y2 = x4 + y4 - 2x2y2 - x2y2</u></em></strong></p><p><strong><em><u>[tex]x4 + y4 - 3x2y2 = x4 + y4 - 2x2y2 - x2y2= (x2)2 + (y2)2 - 2x2y2 - x2y2</u></em></strong></p><p><strong><em><u>[tex]x4 + y4 - 3x2y2 = x4 + y4 - 2x2y2 - x2y2= (x2)2 + (y2)2 - 2x2y2 - x2y2= ( x2 - y2 )2 - (xy)2</u></em></strong></p><p><strong><em><u>[tex]x4 + y4 - 3x2y2 = x4 + y4 - 2x2y2 - x2y2= (x2)2 + (y2)2 - 2x2y2 - x2y2= ( x2 - y2 )2 - (xy)2= ( x2 - y2 - xy )( x2 - y2 + xy )         [ ∵ a2 - b2 = ( a + b )( a - b )]$

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Answer 2

Answer:

${x}^{4} + {y}^{4} - 3 {x}^{2} {y}^{2}$${x}^{4} + {y}^{4} - 2 {x}^{2} {y}^{2} - {x}^{2} {y}^{2}$$( {x}^{2} )^{2} + ( {y}^{2} )^{2} - 2 {x}^{2} {y}^{2} - {x}^{2} {y}^{2}$$( {x}^{2} - {y}^{2} )^{2} - {xy}^{2}$$( {x}^{2} - {y}^{2} - xy)( {x}^{2} - {y}^{2} + xy)$$= > {a}^{2} - {b}^{2} = (a + b)(a - b)$

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