Question

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

Answer 1

Answer:

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

Step-by-step 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

Answer:

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

Step-by-step explanation:

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

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

$-5x-5y+2$

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

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

$3x^2+3\times \:2xy+3y^2$

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

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