Question

What is (2+y)³ written out?

Answer 1

`{ \left( 2+y \right) }^( 3 )\\ \\ =\left( 2+y \right) \left( 2+y \right) \left( 2+y \right) \\ \\ =\left( 2+y \right) \left( 4+4y+{ y }^( 2 ) \right)`


`\\ \\ =2\left( 4+4y+{ y }^( 2 ) \right) +y\left( 4+4y+{ y }^( 2 ) \right) \\ \\ =8+8y+2{ y }^( 2 )+4y+4{ y }^( 2 )+{ y }^( 3 )\\ \\ ={ y }^( 3 )+6{ y }^( 2 )+12y+8`