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Question
If A = 3x2 – 4x + 1, B = 5x2 + 3x – 8 and C = 4x2 – 7x + 3, then find:
(A + B) – C
Solution
Given, A = 3x2 – 4x + 1, B = 5x2 + 3x – 8 and C = 4x2 – 7x + 3
(A + B) – C = (3x2 – 4x + 1 + 5x2 + 3x – 8) – (4x2 – 1x + 3)
On combining the like terms,
= (3x2 + 5x2 – 4x + 3x + 1 – 8) – (4x2 – 1x + 3)
= (8x2 – x – 7) – (4x2 – 7x + 3)
= 8x2 – x – 7 – 4x2 + 7x – 3
= 8x2 – 4x2 – x + 7x – 7 – 3
= 4x2 + 6x – 10
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