Question

Помогите люди добрые

Answer 1

1.
a)   30a²+11ab=a(30a+11b)
б)   17m^5 - 5m²=m²(17m³ - 5)
в)    ....=6x²y(2y³ - 3xy² - 1)

2.
a)   .....=(4c+7c)(a-c)=11c(a-c)
в    ......=z(x+y)+5(x+y)=(z+5)(x+y)

3.
a)   .....=5(a² -9b²)=5(a-3b)(a+3b)
б)   .....=4m² - 24mn+36n²=4(m² - 6mn+9n²)=4(m-3n)(m-3n)=4(m-3n)²
в)   .....=(x-5y³)(x²+5xy³+25y^9)

4.
x³+5x² - 25x - 125=0
(x - 5)(x²+10x+25)=0
(x-5)(x+5)(x+5)=0
x-5=0
x1=5
x+5=0
x2=x3= - 5
x=+-5

5.
$frac{1.6*6.4^{2}-1.6*3.6^{2} }{0.4*2.4^{2}-0.4^{3} } = frac{1.6(6.4^{2}-3.6^{2}) }{0.4(2.4^{2} - 0.4^{2} )}= frac{4(6.4-3.6)(6.4+3.6)}{(2.4-0.4)(2.4+0.4)}= frac{4*2.8*10}{2*2.8}=20$