Question

Solve: (5x - 3y + 2z)²

Answer 1

25
`x^(2)` - 30xy + 20xz + 9
`y^(2)` - 12yz + 4
`z^(2)`

Explanation:

We multiply it out.

(5x - 3y + 2z) * (5x - 3y + 2z)

5x*5x + 5x*-3y + 5x*2z - 3y*5x - 3y*-3y -3y*2z + 2z*5x +2z * -3y +2z *2z

25
`x^(2)` - 15xy + 10xz - 15xy + 9
`y^(2)` - 6yz + 10xz - 6yz + 4
`z^(2)`

Add like terms

25
`x^(2)` - 15xy - 15xy + 10xz + 10xz + 9
`y^(2)` - 6yz - 6yz + 4
`z^(2)`

25
`x^(2)` - 30xy + 20xz + 9
`y^(2)` - 12yz + 4
`z^(2)`