Simplify each of the following:(i) (1/3y2 – 4/7y + 11) – (1/7y –

1.	Simplify each of the following:(i) (1/3y2 – 4/7y + 11) – (1/7y – 3 + 2y2) – (2/7y – 2/3y2 + 2)(ii) -1/2a2b2c + 1/3ab2c – 1/4abc2 – 1/5cb2a2 + 1/6cb2a – 1/7c2ab + 1/8ca2b
Answer» (i) (1/3y² – 4/7y + 11) – (1/7y – 3 + 2y²) – (2/7y – 2/3y² + 2) = 1/3y² – 2y² – 2/3y² – 4/7y – 1/7y – 2/7y + 11 + 3 – 2 = (y² – 6y² + 2y²)/3 – (4y – y – 2y)/7 + 12 = -3/3y² – 7/7y + 12 = -y² – y + 12 (ii) -1/2a²b²c + 1/3ab²c – 1/4abc² – 1/5cb²a² + 1/6cb²a – 1/7c²ab + 1/8ca²b = -1/2a²b2c – 1/5a²b²c + 1/3ab²c + 1/6ab²c – 1/4abc²– 1/7abc² + 1/8a²bc = -7/10a²b²c + 1/2ab²c – 11/28abc² + 1/8a²bc

Simplify each of the following:(i) (1/3y2 – 4/7y + 11) – (1/7y – 3 + 2y2) – (2/7y – 2/3y2 + 2)(ii) -1/2a2b2c + 1/3ab2c – 1/4abc2 – 1/5cb2a2 + 1/6cb2a – 1/7c2ab + 1/8ca2b

Answer»

(i) (1/3y² – 4/7y + 11) – (1/7y – 3 + 2y²) – (2/7y – 2/3y² + 2)

= 1/3y² – 2y² – 2/3y² – 4/7y – 1/7y – 2/7y + 11 + 3 – 2

= (y² – 6y² + 2y²)/3 – (4y – y – 2y)/7 + 12

= -3/3y² – 7/7y + 12

= -y² – y + 12

(ii) -1/2a²b²c + 1/3ab²c – 1/4abc² – 1/5cb²a² + 1/6cb²a – 1/7c²ab + 1/8ca²b

= -1/2a²b2c – 1/5a²b²c + 1/3ab²c + 1/6ab²c – 1/4abc²– 1/7abc² + 1/8a²bc

= -7/10a²b²c + 1/2ab²c – 11/28abc² + 1/8a²bc

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