Объяснение:
2.
1)x³+27y³=x³+3³y³=(x+3y)(x²-3xy+9y²)
2)x³-64xy²=x(x²-64y²)=x(x-8y)(x+8y)
3)-3a²+18a-27=-3(a²-6a+9)=-3(a-3)²
4)a⁴-16=(a²-4)(a²+4)
3.
1)6x³-24x=0
6x(x²-4)=0
x(x²-4)=0
x=0
x²-4=0
x=-2
x=2
2)25x³-10x²+x=0
x(25x²-10x+1)=0
(5x-1)²=0
x=1/5
3)x³-4x²-9x+36=0
x²(x-4)-9(x-4)=0
(x-4)(x²-9)=0
x-4=0
x²-9=0
x=4
x=-3
x=3
3.(6x-7)²-(4x-3)²
(6x-7-4x+3)(6x-7+4x-3)
(2x-4)(10x-10)
2(x-2)10(x-1)
2•10(x-2)(x-1)
20(x-2)(x-1)
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Answers & Comments
Объяснение:
2.
1)x³+27y³=x³+3³y³=(x+3y)(x²-3xy+9y²)
2)x³-64xy²=x(x²-64y²)=x(x-8y)(x+8y)
3)-3a²+18a-27=-3(a²-6a+9)=-3(a-3)²
4)a⁴-16=(a²-4)(a²+4)
3.
1)6x³-24x=0
6x(x²-4)=0
x(x²-4)=0
x=0
x²-4=0
x=-2
x=2
2)25x³-10x²+x=0
x(25x²-10x+1)=0
x=0
(5x-1)²=0
x=1/5
3)x³-4x²-9x+36=0
x²(x-4)-9(x-4)=0
(x-4)(x²-9)=0
x-4=0
x²-9=0
x=4
x=-3
x=3
3.(6x-7)²-(4x-3)²
(6x-7-4x+3)(6x-7+4x-3)
(2x-4)(10x-10)
2(x-2)10(x-1)
2•10(x-2)(x-1)
20(x-2)(x-1)