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катяzem
@катяzem
August 2022
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m11m
1) -4a⁸b+12a²b³c=4a²b(-a⁶+3b²c)=4a²b(3b²c-a⁶)
3) 7xy-y+21x-3=(7xy+21x)-(y+3)=7x(y+3)-(y+3)=(y+3)(7x-1)
5) 16x³-xy²=x(16x²-y²)=x(4x-y)(4x+y)
2) -20x⁶y-35x⁶=-5x⁶(4y+7)
4) 12x²+6y-2x²y-y²=(12x²-2x²y)+(6y-y²)=2x²(6-y)+y(6-y)=(6-y)(2x²+y)
6) a³b-25ab³=ab(a²-25b²)=ab(a-5b)(a+5b)
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Answers & Comments
3) 7xy-y+21x-3=(7xy+21x)-(y+3)=7x(y+3)-(y+3)=(y+3)(7x-1)
5) 16x³-xy²=x(16x²-y²)=x(4x-y)(4x+y)
2) -20x⁶y-35x⁶=-5x⁶(4y+7)
4) 12x²+6y-2x²y-y²=(12x²-2x²y)+(6y-y²)=2x²(6-y)+y(6-y)=(6-y)(2x²+y)
6) a³b-25ab³=ab(a²-25b²)=ab(a-5b)(a+5b)