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KateIlyxa359
@KateIlyxa359
August 2022
2
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Разложите многочлен на множители:
а) -12а² + 18а³
б) 2а + 4b - ab -2b²
в) x² - 64y²
г) -2x³ - 28x² - 98x
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koingrel
Verified answer
А) -12а^2 + 18а^3 = -6а^2(2 - 3а)
б) 2а + 4b - ab - 2b^2 = 2a + 4b - (ab + 2b^2) = 2(a + 2b) - b(a + 2b) = (2-b)(a + 2b)
в) х^2 - 64у^2 = (х-8у)(х+8у)
г) -2х^3 - 28х^2 - 98х = -2х(х^2 + 14х + 49) = -2х(х+7)^2
6 votes
Thanks 11
gonkongest
A) -12a2+18a3=(-6a
²)(2-3a)
б) 2a+4b-ab-2b
²=a(2-b)+2b(2-b)=(2-b)(a+2b)
в) x
²-64y²=(x-8y)(x+8y)
г)-2x³-28x²-98x=-2x³-14x²-14x²-98x=2x²(x-7)+14x(x-7)=(x-7)(2x²+14x)
4 votes
Thanks 2
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Answers & Comments
Verified answer
А) -12а^2 + 18а^3 = -6а^2(2 - 3а)б) 2а + 4b - ab - 2b^2 = 2a + 4b - (ab + 2b^2) = 2(a + 2b) - b(a + 2b) = (2-b)(a + 2b)
в) х^2 - 64у^2 = (х-8у)(х+8у)
г) -2х^3 - 28х^2 - 98х = -2х(х^2 + 14х + 49) = -2х(х+7)^2
б) 2a+4b-ab-2b²=a(2-b)+2b(2-b)=(2-b)(a+2b)
в) x²-64y²=(x-8y)(x+8y)
г)-2x³-28x²-98x=-2x³-14x²-14x²-98x=2x²(x-7)+14x(x-7)=(x-7)(2x²+14x)