Разложите на множитель
А) x^3+y^3=
B) x^3+1
C)m^3+27
D)8+c^3
E)y^3+1/8
F)8/27+z^3
Сократите дробь
А)a-b/a^3-b^3
Б)p^3+q^3/2p+2q
В)x^3-y^3/x^2-y^2
Г) a^2+2ab+b^2/a^3+b^3
Д))m^3+n^3/2(m^2-mn +n^2)
Е)a^2-az/a^3-z^3
Помогите пожалуйста
Ответы на вопрос
Ответил akonya2602
4
A. x³+y³= (x+y)(x²-xy+x²)
B. x³+1=(x+1)(x²-x+1)
c. m³+27= (m+3)(m²-3m+9)
d. 8+c³= (2+c)(4-2c+c²)
e, y³+1/8= (y+1/2)(y²-1/2y+1/4)
f, 8/27+z³= (2/3+z)(4/9-2/3z+z²)
sokrashenie
1) a-b/a3-b3= a-b/(a-b)(a²+ab+b²)= 1/a²+ab+b²
2) p³+q³/2p+2q= (p+q)(p²-pq+q²)/2(p+q)= p²-pq+q²
3) x³-y³/x²-y²= (x-y)(x²+xy+x²)/(x-y)(x+y)=(x²+xy+x²)/(x+y)
B. x³+1=(x+1)(x²-x+1)
c. m³+27= (m+3)(m²-3m+9)
d. 8+c³= (2+c)(4-2c+c²)
e, y³+1/8= (y+1/2)(y²-1/2y+1/4)
f, 8/27+z³= (2/3+z)(4/9-2/3z+z²)
sokrashenie
1) a-b/a3-b3= a-b/(a-b)(a²+ab+b²)= 1/a²+ab+b²
2) p³+q³/2p+2q= (p+q)(p²-pq+q²)/2(p+q)= p²-pq+q²
3) x³-y³/x²-y²= (x-y)(x²+xy+x²)/(x-y)(x+y)=(x²+xy+x²)/(x+y)
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