Question

Answer 1

\(a,=x\left(x^2+x+2\right)\\ b,=\left(x^2+2xy+y^2\right)-9\\ =\left(x+y\right)^2-3^2\\ =\left(x+y-3\right)\left(x+y+3\right)\\ c,=x^2-5xy+2xy-10y^2\\ =x\left(x-5y\right)+2y\left(x-5y\right)\\ =\left(x+2y\right)\left(x-5y\right)\)

Answer 2

`a, x^3 + x^2 + 2x`

`= x(x^2 + x + 2)`

`b, x^2 + 2xy + y^2 - 9`

`= (x+y)^2 - 9`

`= (x+y-3)(x+y+3)`

`c, x^2 - 3xy - 10y^2`

`= x^2 - 5xy + 2xy - 10y^2`

`= x(x-5y) + 2y(x-5y)`

`= (x+2y)(x-5y)`