Question

9. Evaluate using formula (a + b) ^2= a^2 + 2ab + b^2, (a - b) = a^2- 2ab + b^2
(1) 24²
(i) 899²​
Please answer this question

Answer 1

Answer:

Evaluate (9.8)^2 by using the identity (a - b)^2 = a^2 - 2ab + b^2 .

Answer 2

Step-by-step explanation:

Solution:

(a) (24)^2

=> (20 + 4)^2

• (a + b)^2 = a^2 + b^2 + 2ab, where a = 20 and b = 4, we get

=> (20)^2 + (4)^2 + 2 × 20 × 3

=> 400 + 16 + 120

=> 416 + 120

=> 536 Ans .

(b) (899)^2

=> (800 + 99)^2

• (a + b)^2 = a^2 + b^2 + 2ab, Where a = 800 and b = 99, we get

=> (800)^2 + (99)^2 + 2 × 800 × 99

=> 640000 + 9801 + 158400

=> 649801 + 158400

=> 808201 Ans.