Question

Evaluate (103)power 3 by using suitable identity.​

Answer 1

Step-by-step explanation:

(103)³ = (100 + 3)³

(a + b)³ = a³ + b³ + 3 x a² × b + 3 x a x b³

= 100³ + 3 ³ + 3 ×100² × 3 + 3 × 100 × 3²

= 100000 + 27 + 90000 + 2700

= 1092727

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Answer 2

Answer:

Firstly we separate the given number

(100+3)^3

now use the identity (x+y)^3=x^3+y^3+3x^2y+3xy^2

(100+3)^3=(100)^3+(3)^3+3×(100)^2×3+3×100×(3)^2

=1000000+27+3×10000×3+3×100×9

=1000000+27+90000+2700

=1092727

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