Розкласти на множники:
1)5х³ - 5ху² ; 2) 8а²b² - 72а²с² ;
3) 5а³ - 40b6 ; 4) а³- аb -a²b +a² .
1)5х³ - 5ху² ; 2) 8а²b² - 72а²с² ;
3) 5а³ - 40b6 ; 4) а³- аb -a²b +a² .
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Answers & Comments
1) 5x³-5xy²=5x(x²-y²)=5x(x-y)(x+y)
2) 8A^2b^2-72a^2c^2=8a^2(b^2-9c^2)=8a^2(b-3c)*(b+3c)
3) 5a³-40b65(a³ — 8b6) = 5(a-2b2) · (a²+2ab2 + 4b¹)
4) а³-ab-a²b+a²=(a³+a²)-(ab+a²b)=a²(a+1)-ab(1+a)=(a+1)(a²-ab)=a(a+1)(a-b)