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Step-by-step explanation:
case 1, sum of 4+3x and 5-4x+2x^2
= (4+3x)+(5-4x+2x^2)
=. 9-x+2x^2
case 2, sum of 3x^2-5x and -x^2+2x+5
=(3x^2-5x)+(-x^2+2x+5)
=2x^2-3x+5
case 3, subtract case 1 from case 2
= ( 9-x+2x^2)-(2x^2-3x+5)
=3x+4
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