Question

Expand using suitable identity (101)^3​

Answer 1

Answer:

1030301

Step-by-step explanation:

(101)^3 = (100+1)^3

This is similar to the identity, (a+b)^3 = a^3 + b^3 + 3ab(a+b)

When we substitute a=100, b=1,

(100)^3 + (1)^3 + (300*101)

= 1000000 + 1 + (3*101)00

= 1000000 + 1 + 30300

= 1030301

Answer 2

Step-by-step explanation:

(101)³

= (100 + 1)³

= (100)³ + (1)³ + 3 × 100 × 1(100+1)

= 1000000 + 1 + 300(100+1)

= 1000000 + 1 + 30000 + 300

= 1030301

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