Question

1) Add the following algebraic expressions:

a) 3a
²b, −4a²b, 9a
²b
b) 2
/3
a,
3
/5
a,
6
/5
a


c) 4xy
² − 7x
²y, 12x²y − 6xy
² − 3x²y + 5xy
²

​

Answer 1

Step-by-step explanation:

1).12a²b-4a²b

= 8a²b

2).37/15a

3).4xy²+9x²y

Answer 2

(i) 3a2b, -4a2b, 9a2b

= 3a2b + (-4a2b) + 9a2b

= 3a2b – 4a2b + 9a2b = 3a2b

(ii) 2/3a, 3/5a, -6/5a

= 2/3a + 3/5a + (-6/5a) = 2/3a + 3/5a – 6/5a

= (2×5)/(3×5)a + (3×3)/(5×3)a – (6×3)/(5×3)a

= 10/15a + 9/15a – 18/15a

= (10a+9a-18a)/15

= a/15

(iii) 4xy2 – 7x2y, 12x2y -6xy2, -3x2y + 5xy2

= 4xy2 – 7x2y + 12x2y – 6xy2 – 3x2y + 5xy2

= 4x2 + 12x2y – 3x2y – 7x2y – 6xy2 + 5xy2

= 3xy2 +2x²y