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JuliaVlassova14
@JuliaVlassova14
October 2021
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разложите на множители (a-2b)^4-8(a-2b) 2) (x-3y)^4-27x+81y
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1)(a-2b)^4-8(a-2b)=(a-2b)((a-2b)^3-8)=(a-2b)(a-2b-2)(a^2-4ab+4b^2+2a-4b+4)
2) (x-3y)^4-27x+81y=(x-3y)^4-27(x-3y)=(x-3y)((x-3y)^3-27)=(x-3y)(x-3y-3)(x^2-6xy+9y^2+3x-9y+9)
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Verified answer
1)(a-2b)^4-8(a-2b)=(a-2b)((a-2b)^3-8)=(a-2b)(a-2b-2)(a^2-4ab+4b^2+2a-4b+4)2) (x-3y)^4-27x+81y=(x-3y)^4-27(x-3y)=(x-3y)((x-3y)^3-27)=(x-3y)(x-3y-3)(x^2-6xy+9y^2+3x-9y+9)