Question

Factorise 3(x+y)^2 -5(x+y) + 2

Answer 1

3x^2 + 6xy + 3y^2 -5x -5y + 2

Explanation:

3(x+y)^2 -5(x+y) + 2

3(x^2 + 2xy + y^2) -5x -5y + 2

Mulyiply the parantheses by 3,

3x^2 + 6xy + 3y^2 -5x -5y + 2

Answer 2

`3x^2+3y^2+6xy-5x-5y+2`

Explanation:

`3(x+y)^2 -5(x+y) + 2`

`\mathrm{Expand}\:-5\left(x+y\right)+2`

`-5x-5y+2`

`\mathrm{Simplify}\:3\left(x+y\right)^2`

`3\left(x^2+2xy+y^2\right)`

`3x^2+3* \:2xy+3y^2`

`3x^2+6xy+3y^2`

`=3x^2+3y^2+6xy-5x-5y+2`