разложите на множители
а) у - 100 у^3
б) 7а^2 - 14ab+7b^2
в) (х+4)(х-4)-(х-3)^2
a)y-100y^3=y(1-100y^2)=y(1-100y)(1+100y)
б)7a^2-14ab+7b^2=7(a^2-2ab+b^2)=7(a-b)^2=7(a-b)(a-b)
в)(x+4)(x-4)-(x-3)^2=(x^2-16)-(x^2-6x+9)
1) -y(10y-1)(10y+1)
2)7(7b^2-2ab+a^2)
3)6x-25
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Answers & Comments
a)y-100y^3=y(1-100y^2)=y(1-100y)(1+100y)
б)7a^2-14ab+7b^2=7(a^2-2ab+b^2)=7(a-b)^2=7(a-b)(a-b)
в)(x+4)(x-4)-(x-3)^2=(x^2-16)-(x^2-6x+9)
1) -y(10y-1)(10y+1)
2)7(7b^2-2ab+a^2)
3)6x-25