Question

2. Add:

(i) 3mn, – 5mn, 8mn, – 4mn
(ii) t – 8tz, 3tz – z, z – t
(iii) – 7mn + 5, 12mn + 2, 9mn – 8, – 2mn – 3
(iv) a + b – 3, b – a + 3, a – b + 3
(v) 14x + 10y – 12xy – 13, 18 – 7x – 10y + 8xy, 4xy
(vi) 5m – 7n, 3n – 4m + 2, 2m – 3mn – 5
(vii) ab – 4a, 4b – ab, 4a – 4b​

Answer 1

Step-by-step explanation:

1. 3mn,−5mn,8mn,−4mn=3mn+(−5mn)+8mn+(−4mn)

3mn,−5mn,8mn,−4mn=3mn+(−5mn)+8mn+(−4mn)=(3−5+8−4)mn=2mn.

2.−8tz,3tz−z,z−t=t−8tz+3tz−z+z−t

−8tz,3tz−z,z−t=t−8tz+3tz−z+z−t=t−t−8tz+3tz−z+z

−8tz,3tz−z,z−t=t−8tz+3tz−z+z−t=t−t−8tz+3tz−z+z=(1−1)t+(−8+3)tz+(−1+1)z

−8tz,3tz−z,z−t=t−8tz+3tz−z+z−t=t−t−8tz+3tz−z+z=(1−1)t+(−8+3)tz+(−1+1)z=0−5tz+0=−5tz.

3.

4. a+b-3b-a+3a-b+3

a-3b-a+3a+3

5.14x+10y−12xy−13,18−7x−10y+8xy,4xy=14x+10y−12xy−13+18−7x−10y+8xy+4xy

14x+10y−12xy−13,18−7x−10y+8xy,4xy=14x+10y−12xy−13+18−7x−10y+8xy+4xy=14x−7x+10y−10y−12xy+8xy+4xy−13+18

14x+10y−12xy−13,18−7x−10y+8xy,4xy=14x+10y−12xy−13+18−7x−10y+8xy+4xy=14x−7x+10y−10y−12xy+8xy+4xy−13+18=7x+0y+0xy+5

14x+10y−12xy−13,18−7x−10y+8xy,4xy=14x+10y−12xy−13+18−7x−10y+8xy+4xy=14x−7x+10y−10y−12xy+8xy+4xy−13+18=7x+0y+0xy+5=7x+5.

6. (5m−7n)+(3n−4m+2)+(2m−3mn−5)

(5m−7n)+(3n−4m+2)+(2m−3mn−5)=5m−7n+3n−4m+2+2m−3mn−5

(5m−7n)+(3n−4m+2)+(2m−3mn−5)=5m−7n+3n−4m+2+2m−3mn−5=3m−4n−3mn−3

(5m−7n)+(3n−4m+2)+(2m−3mn−5)=5m−7n+3n−4m+2+2m−3mn−5=3m−4n−3mn−3Hence the correct answer is 3m−4n−3mn−3.

7.ab−4a,4b−ab,4a−ab=ab−4a+4b−ab+4a−ab

ab−4a,4b−ab,4a−ab=ab−4a+4b−ab+4a−ab=−4a+4a+4b−4b+ab−ab

ab−4a,4b−ab,4a−ab=ab−4a+4b−ab+4a−ab=−4a+4a+4b−4b+ab−ab=0+0+0=0.

It will help you.