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Question
From the sum of 4 + 3x and 5 - 4x + 2x2, subtract the sum of 3x2 - 5x and -x2 + 2x + 5.
Solution
(4 + 3x) + (5 - 4x + 2x2) = 4 + 3x + 5 - 4x + 2x2
= 3x - 4x + 2x2 + 4 + 5
= -x + 2x2 + 9
(3x2 - 5x) + (- x2 + 2x + 5) = 3x2 - 5x - x2 + 2x + 5
= 3x2 - x2 - 5x + 2x + 5
= 2x2 - 3x + 5
(-x + 2x2 + 9) - (2x2 - 3x + 5)
= -x + 2x2 + 9 - 2x2 + 3x - 5
= -x + 3x + 2x2 - 2x2 + 9 - 5
= 2x + 4
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