If a = 3, b = 2 find the value of(i) ab + ba(ii) aa + bb(iii) (a + b

1.	If a = 3, b = 2 find the value of(i) ab + ba(ii) aa + bb(iii) (a + b)ab(iv)(a – b)a
Answer» (i) a^b + b^a = 3² + 2³ = 3 × 3 + 2 × 2 × 2 = 9 + 8 =17 (ii) a^a + b^b = 3³ + 2² = 3 × 3 × 3 + 2 × 2 = 27 + 4 = 31 (iii) (a + b)^b = (3 + 2)² = 5² = 5 × 5 = 25 (iv)(a – b)^a = (3 – 2)²= 1² = 1 × 1 = 1 .

If a = 3, b = 2 find the value of(i) ab + ba(ii) aa + bb(iii) (a + b)ab(iv)(a – b)a

Answer»

(i) a^b + b^a = 3² + 2³ = 3 × 3 + 2 × 2 × 2 = 9 + 8 =17

(ii) a^a + b^b = 3³ + 2² = 3 × 3 × 3 + 2 × 2 = 27 + 4 = 31

(iii) (a + b)^b = (3 + 2)² = 5² = 5 × 5 = 25

(iv)(a – b)^a = (3 – 2)²= 1² = 1 × 1 = 1 .