A)
[tex] {( {x}^{m} + {x}^{n} )}^{2} \\ {x}^{2m} + 2 {x}^{m + n} + {x}^{2n} [/tex]
B)
[tex] {( {a}^{x} + {b}^{x} + 1) }^{2} \\ {( {a}^{x} + {b}^{x} )}^{2} + 2(( {a}^{x} + {b}^{x} ) + 1 \\ {a}^{2x} +2 {a}^{x} + 2 {b}^{x} + 2 {a}^{x} {b}^{x} + {b}^{x} + 1[/tex]
C)
[tex] {( {x}^{3} + 3) }^{2} \\ {x}^{6} + 6 {x}^{3} + 9[/tex]
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A)
[tex] {( {x}^{m} + {x}^{n} )}^{2} \\ {x}^{2m} + 2 {x}^{m + n} + {x}^{2n} [/tex]
B)
[tex] {( {a}^{x} + {b}^{x} + 1) }^{2} \\ {( {a}^{x} + {b}^{x} )}^{2} + 2(( {a}^{x} + {b}^{x} ) + 1 \\ {a}^{2x} +2 {a}^{x} + 2 {b}^{x} + 2 {a}^{x} {b}^{x} + {b}^{x} + 1[/tex]
C)
[tex] {( {x}^{3} + 3) }^{2} \\ {x}^{6} + 6 {x}^{3} + 9[/tex]