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Please help me understand

Please help me understand-example-1
User Hemant Rao
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\huge \boxed {\sf \: {Answer}}


( {x}^(7) + 5x ^(4) - x + 2) - ( {5x}^(4) - {x}^(3) + 2) \\ ={x}^(7) + 5x ^(4) - x + 2 - {5x}^(4) + {x}^(3) - 2\\ = {x}^(7) + 5x ^(4) - {5x}^(4) + {x}^(3) - x + 2 - 2 \\ = {x}^(7) + {x}^(3) - x \\ = x( {x}^(6) + {x}^(2) - 1)

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User Enes Malik Turhan
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