Question

Simplify:

x-(y – z) + x + (y – z) + y - (z+ x)

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

(i) x – (y – z) + x + (y – z) + y – (z + x)

= x – y + z + x + y – z + y – z – x

= x + x – x – y + y + y + z – z – z

= x + y – z

(ii) x – [y + {x – (y + x)}]

= x – [y + {x – y – x}]

= x – [ y + x – y – x]

= x – y – x + y + x

= x – x + x – y + y = x

(iii) 4x + 3 (2x – 5y)

= 4x + 6x – 15y

= 10x – 15y

(iv) 2 (3a – b) – 5 (a – 3b)

= 6a – 2b – 5a + 15b

= 6a – 5a + 15b – 2b = a + 13b

(vii) 3x – [ 5y – {6y + 2 (10y – x)}]

= 3x – [5y – {6y + 20y -2 x}]

= 3x – [5y -6y – 20y + 2x}]

= 3x – 5y + 6y + 20y – 2x

= 3x – 2x + 6y + 20y – 5y

= x + 21y

= 5 {a2 – a (a – a + 2)}

= 5 {a2 – a2 + a2 – 2a)

= 5a2 – 5a2 + 5a2 – 10a

= 5a2 – 10a

Step-by-step explanation:

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