Explicación paso a paso:
[tex]R = (3 {x}^{2} - 2 {y}^{3} ) ^{2} + (3 {y}^{3} + 2 {x}^{2} ) ^{2} - 13( {x}^{4} - {y}^{6} )[/tex]
[tex]R =9 {x}^{4} - 12 {x}^{2} {y}^{3} + 4 {y}^{6} + 9 {y}^{6} + 12 { {x}^{2} } {y}^{3} + 4 {x}^{4} - 13 {x}^{4} + 13 {y}^{6} [/tex]
[tex]R =(9 {x}^{4} + 4 {x}^{4} - 13 {x}^{4} ) + (12 {x}^{2} {y}^{3} - 12 {x}^{2} {y}^{3} ) + (4 {y}^{6 } + 9 {y}^{6} + 13 {y}^{6} )[/tex]
[tex]R =0 + 0 + 26 {y}^{6} [/tex]
[tex]R =26 {y}^{6} [/tex]
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Verified answer
Explicación paso a paso:
[tex]R = (3 {x}^{2} - 2 {y}^{3} ) ^{2} + (3 {y}^{3} + 2 {x}^{2} ) ^{2} - 13( {x}^{4} - {y}^{6} )[/tex]
[tex]R =9 {x}^{4} - 12 {x}^{2} {y}^{3} + 4 {y}^{6} + 9 {y}^{6} + 12 { {x}^{2} } {y}^{3} + 4 {x}^{4} - 13 {x}^{4} + 13 {y}^{6} [/tex]
Reducir términos semejantes
[tex]R =(9 {x}^{4} + 4 {x}^{4} - 13 {x}^{4} ) + (12 {x}^{2} {y}^{3} - 12 {x}^{2} {y}^{3} ) + (4 {y}^{6 } + 9 {y}^{6} + 13 {y}^{6} )[/tex]
[tex]R =0 + 0 + 26 {y}^{6} [/tex]
[tex]R =26 {y}^{6} [/tex]