Subtract: (2 Marks)

(i) $6 x^{3} - 7 x^{2} + 5 x - 3$ from $4 - 5 x + 6 x^{2} - 8 x^{3}$

(ii) $- x^{2} - 3 z$ from $5 x^{2} - y + z + 7$

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Solution

(i) Given 6x³−7x²+ 5x − 3 and 4 − 5x + 6x² − 8x³

= (4 – 5x + 6x² – 8x³) – (6x³ – 7x² + 5x – 3)

= 4 – 5x + 6x² – 8x³ – 6x³ + 7x² – 5x + 3

= – 8x³– 6x³ + 7x² + 6x²– 5x – 5x + 3 + 4

= – 14x³ + 13x² – 10x +7

(1 mark)

(ii) Given − x²−3z and 5x²– y + z + 7

= (5x² – y + z + 7) – (-x² – 3z)

= 5x² – y + z + 7 + x² + 3z

= 5x²+ x² – y + z + 3z + 7

= 6x² – y + 4z + 7

(1 mark)

Suggest Corrections

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