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Question
If A = 3x2 – 4x + 1, B = 5x2 + 3x – 8 and C = 4x2 – 7x + 3, then find:
B + C – A
Solution
Given, A = 3x2 – 4x + 1, B = 5x2 + 3x – 8 and C = 4x2 – 7x + 3
B + C – A = 5x2 + 3x – 8 + 4x2 – 7x + 3 – (3x2 – 4x + 1)
On combining the like terms,
= (5x2 + 4x2 + 3x – 7x – 8 + 3) – (3x2 – 4x + 1)
= (9x2 – 4x – 5) – (3x2 – 4x + 1)
= 9x2 – 4x – 5 – 3x2 + 4x – 1
= 9x2 – 3x2 – 4x + 4x – 5 – 1
= 6x2 – 6
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