Square of Difference: System of equations with no solution

Choose the expression that has the same value as the following:

$(x-y)^2$

We use the abbreviated multiplication formula:

$(x-y)(x-y)=$

$x^2-xy-yx+y^2=$

$x^2-2xy+y^2$

$x^2-2xy+y^2$

$(x-2)^2+(x-3)^2=$

In order to solve the question, we need to know one of the shortcut multiplication formulas:

$(x−y)^2=x^2−2xy+y^2$

We apply the formula twice:

$(x-2)^2=x^2-4x+4$

$(x-3)^2=x^2-6x+9$

Now we add the two together:

$x^2-4x+4+x^2-6x+9=$

$2 x^2-10x+13$

$2x^2-10x+13$

$(x^2-6)^2=$

$x^4-12x^2+36$

Choose the expression that has the same value as the following:

$(x-7)^2$

$x^2-14x+49$

$(x-x^2)^2=$

$x^4-2x^3+x^2$

$9x^2-12x+4=$

$(3x-2)^2$

$2(3x-1)^2-3(2x+1)^2=$

$6x(x-4)-1$