How do you expand $(10y^3+1)^2$ ?

Question

1590 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-11-28T17:38:33

$(10y^3+1)^2=100y^6+20y^3+1$

$(10y^3+1)^2=(10y^3+1)(10y^3+1)^2$

$=100y^6+10y^3+10y^3+1$

$=100y^6+20y^3+1$

This follows the old routine of $(a+b)^2=a^2+b^2+2ab$ .

Here $a=10y^3, b=1$ .

How do you expand (10y^3+1)^2(10y^3+1)^2?