Question

5.
Find the value of (11)^3 by using suitable identity.​

Answer 1

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We will use the identity :

(a+b)³ = a³+b³+3ab(a+b)

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(11)³

= (10+1)³

= (10)³ + (1)³ + {3×10×1(10+1)}

= 1000+1+ {30(10+1)}

= 1000+1+330

= 1331

Answer 2

Using (a + b)^3 = a^3 + 3*a^2*b + 3*a*b^2 + b^3

(11)^3 = (10 + 1)^3 = 10^3 + 3*10^2*1 + 3*10*1^2 + 1^3 = 1000 + 300 + 30 + 1 = 1331

(11)^3 = 1331 ——> Answer