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evuzelovskaa
@evuzelovskaa
September 2021
1
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Розкладить на множныки :
1) a+b+a^2-b^2
2)9a^2-6ab +b^2 -16
3)х^3y^2-х^3-ху^2 + х
4)1- х ^2 + 4хy-4 y^2
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Виктория0503
Verified answer
1) a+b+a^2-b^2 = а+а^2+b-b^2 = a(1+a)+b(1-b)
2) 9a^2-6ab+b^2-16 = 3a(3a-2ab)+(b-4)(b+4)
3) х^3y^2-х^3-xy^2+x = x^3(y^2-1)-x(y^2-1) = (y^2-1)(x^3-x)
4) 1-х^2+4хy-4y^2 = (1-x)(1+x)+4y(x-y)
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Answers & Comments
Verified answer
1) a+b+a^2-b^2 = а+а^2+b-b^2 = a(1+a)+b(1-b)2) 9a^2-6ab+b^2-16 = 3a(3a-2ab)+(b-4)(b+4)
3) х^3y^2-х^3-xy^2+x = x^3(y^2-1)-x(y^2-1) = (y^2-1)(x^3-x)
4) 1-х^2+4хy-4y^2 = (1-x)(1+x)+4y(x-y)