Multiply:
2x²–4x+5 by x²+3x–7
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Step-by-step explanation:
(i) 2x2 – 4x + 5 by x2 + 3x – 7
(2x2 – 4x + 5) × (x2 + 3x – 7)
2x2 (x2 + 3x -7) – 4x(x2 + 3x – 7) + 5(x2 + 3x -7)
2x4 + 6x3 – 14x2 – 4x3 – 12x2 + 28x + 5x2– 15x - 35
2x4 + 6x3 – 4x3 – 14x2 – 12x2 + 5x2 + 28x + 15x – 35
2x4 + 2x3 – 21x2 + 43x – 35
(ii) (ab – 1) (3 – 2ab)
ab(3 – 2ab) – 1(3 – 2ab)
3ab – 2a2b2 – 3 + 2ab
-2a2b2 + 5ab – 3
2a2b2 – 5ab + 3
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