(8x^3- 3x^2) × ( 4x^2- 2x)
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Given, A = 3x2 – 4x +1, B = 5x2 + 3x – 8 and C = 4x2 – 7x + 3
1. (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
2. 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
3. A+B+C
= 3x2-4x+ 1 +5x2 + 3x-8+4x2-7x+3
On combining the like terms,
= 3x2 + 5x2 + 4x2 -4x + 3x-7x +1 – 8 + 3
= 12x2-8x-4
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