Question

Найдите значение 2008^3, если 2007^2 * 2010=a

Answer 1

2007²*2010=a
2007²(2007+3)=2007³+3*2007²=a
2008³=(2007+1)³=
2007³+3*2007²+3*2007+1=a+6022

Answer 2

${2008}^{3} = {(2007 + 1)}^{3} = {2007}^{3} + 3 \times {2007}^{2} + 3 \times 2007 + 1 = {2007}^{2} (2007 + 3) + 3 \times 2007 + 1 = {2007}^{2} \times 2010 + 3 \times 2007 + 1 = a + 6021 + 1 = a + 6022$