1
Solved example of square of a trinomial
$\left(x+y-1\right)^3$
2
Expand the cube of a trinomial
$x^3+3x^2y+3\left(-1\right)x^2+y^3+3xy^2+3\left(-1\right)y^2+{\left(-1\right)}^3+3\cdot {\left(-1\right)}^2x+3\cdot {\left(-1\right)}^2y+6\left(-1\right)xy$
3
Multiply $3$ times $-1$
$x^3+3x^2y-3x^2+y^3+3xy^2+3\left(-1\right)y^2+{\left(-1\right)}^3+3\cdot {\left(-1\right)}^2x+3\cdot {\left(-1\right)}^2y+6\left(-1\right)xy$
4
Multiply $3$ times $-1$
$x^3+3x^2y-3x^2+y^3+3xy^2-3y^2+{\left(-1\right)}^3+3\cdot {\left(-1\right)}^2x+3\cdot {\left(-1\right)}^2y+6\left(-1\right)xy$
5
Multiply $6$ times $-1$
$x^3+3x^2y-3x^2+y^3+3xy^2-3y^2+{\left(-1\right)}^3+3\cdot {\left(-1\right)}^2x+3\cdot {\left(-1\right)}^2y-6xy$
6
Calculate the power ${\left(-1\right)}^3$
$x^3+3x^2y-3x^2+y^3+3xy^2-3y^2-1+3\cdot {\left(-1\right)}^2x+3\cdot {\left(-1\right)}^2y-6xy$
7
Calculate the power ${\left(-1\right)}^2$
$x^3+3x^2y-3x^2+y^3+3xy^2-3y^2-1+3x+3\cdot {\left(-1\right)}^2y-6xy$
8
Calculate the power ${\left(-1\right)}^2$
$x^3+3x^2y-3x^2+y^3+3xy^2-3y^2-1+3x+3y-6xy$
Final Answer
$x^3+3x^2y-3x^2+y^3+3xy^2-3y^2-1+3x+3y-6xy$