Question

разложить на множители помогите пожалуйста
1)10x-5x^2+5
2)-0,9x^2-0,6xy-0,1y^2
3)4u^3+4u^2+u
4)pt^2+6p^2t+9p^3
5)9x^3y-12x^2y^2+4xy^3
6)36(y+2)+12y(y+2)

Answer 1

1)

$10x - 5{x}^{2} + 5 = 5(2x - {x}^{2} + 1)$

2)

$- 0.9 {x}^{2} - 0.6xy - 0.1 {y}^{2} = - 0.1(9 {x}^{2} + 6xy + {y}^{2} )$

3)

$4 {u}^{3} + 4 {u}^{2} + u = u(4 {u}^{2} + 4u + 1)$

4)

$p {t}^{2} + 6 {p}^{2} t + 9 {p}^{3} = p( {t}^{2} + 6pt + 9 {p}^{2} )$

5)

$9 {x}^{3} - 12 {x}^{2} {y}^{2} + 4x {y}^{3} = 2x(4.5 {x}^{2} - 6x {y}^{2} + 2 {y}^{3} )$

6)

$36(y + 2) + 12(y + 2) = (y + 2)(36 + 12) = 48(y + 2)$