Question

100 баллов!
Разложите на множители:
1)х²у+ху²
2)-1/3ab⁴-2/3a³b²
3)-3,2t⁴m³+1,6t²m³+0,4t³m
4)x(x+5)+y(-x-5)
5)a(2-b)+b(b-2)

Answer 1

1.
${x}^{2} y + x {y}^{2} = xy(x + y) \\ - \frac{1}{3} a {b}^{4} - \frac{2}{3} {a}^{3} {b}^{2} = - \frac{1}{3} a {b}^{2} ( {b}^{2} + {a}^{2} )$
2.
$- \frac{1}{3} a {b}^{4} - \frac{2}{3} {a}^{3} {b}^{2} = - \frac{1}{3} a {b}^{2} ( {b}^{2} + {2a}^{2}$

3.
$- 3.2 {t}^{4} {m}^{3} + 1.6 {t}^{2} {m}^{3} + 0.4 {t}^{3} m = \\ - \frac{2}{5} m {t}^{2} (8 {m}^{2} {t}^{2} - 4 {m}^{2} - t)$
4.
$x(x + 5) + y( -x - 5) = (x + 5)(x - y)$
5.
$a(2 - b) + b(b - 2) = (2 - b)(a - b)$