Разложите на множители: 27х^3 – у^3 25a^3 – ab^2 – 3x^2 – 12x – 12 3ab – 15+12b – 60 a^4 – 625 ^-степень. Created by yangurazova2018. algebra-ru

Разложите на множители: 27х^3 – у^3 25a^3 – ab^2 – 3x^2 – 12x – 12 3ab

yangurazova2018 @yangurazova2018

July 2022 1 2 Report

Разложите на множители:
27х^3 – у^3
25a^3 – ab^2
– 3x^2 – 12x – 12
3ab – 15+12b – 60
a^4 – 625
^-степень

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27х³-у³=(3х-у)(9х²+3ху+у²)
25а³-ab²=a(25a²-b²)=a(5a-b)(5a+b)
-3x²-12x-12=-3(x²+4x+4)=-3(x+2)²
3ab-15+12b-60=3(ab-5)+5(b-5)
a⁴-625=(a²-25)(a²+25)=(a-5)(a+5)(a²+25)

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