Question

using the formula (a+b)² =a²+2ab+b², evaluate :(409)²

Answer 1

Step-by-step explanation:

we can write 409 sq = (400+9)sq

${(400 + 9)}^{2} = {(400)}^{2} + {(9)}^{2} + 2 \times400 \times 9 \\ 160000 + 81 + 7200 \\ 167281 \\ where \: {(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2}$

Answer 2

Answer:

161,881. Ans.

Step-by-step explanation:

Given:-

(409)^2

Using algebraic Identity (a+b)^2 = a^2+2ab+b^2

(409)^2 = (400+9)^2

= (400)^2+2(100)(9)+(9)^2

= 160,000 + 2(900) + 81

= 160,000 + 1800 + 81

= 161,881 Ans.

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