Question

Solve :(1005)^3 using identity

Answer 1

Answer:

1,015, 075,125

Step-by-step explanation:

$1005 = 1000 + 5$

${(1005)}^{3} = {(1000 + 5)}^{3}$

Usind identity

${(a + b)}^{3} = {a}^{3} + {b}^{3} + 3ab(a + b)$

${(1000 + 5)}^{3} = {1000}^{3} + {5}^{3} + 3 \times 1000 \times 5$

$= 1000000000 + 125 + 15000 \times 1005$

$= 1000000125 + 15075000$

$= 1015075125$

Answer 2

Step-by-step explanation:

(1005)^3

(1000+5)^3

(a+b)^3=a^3+b^3+3ab(a+b)

=1000^3+5^3+3×1000×5(1000+5)

=1000000000+125+15000(1005)

=1000000000+125+15075000

=1015075125