разложите на множетели:
а)x^8-y^8
б)a^8-b^4
в)x^4-x^8
г)a^9-1
x^8-y^8=((x^4)^2-y^4^2)=(x^4-y^4)(x^4+y^4)=(x-y)(x+y)(x^2+y^2)(x^4+y^4)
a^8-b^4=(a^4)^2-b^2^2=(a^4-b^2)(a^4+b^2)=(a^2-b)( a^2+b)(a^4+b^2)
x^4-x^8=(x^2-x^4)(x^2+x^4)=(x-x^2)(x+x^2)(x^2+x^4)
a^9-1=(a^3)^3-(1^3)^3=(a-1)(a^2+a+1)(a^6+a^3+1)
а)8(x-y)
б)4(2а-b)
в)4х(1-2)
г)1(9а-1)
Copyright © 2024 SCHOLAR.TIPS - All rights reserved.
Answers & Comments
x^8-y^8=((x^4)^2-y^4^2)=(x^4-y^4)(x^4+y^4)=(x-y)(x+y)(x^2+y^2)(x^4+y^4)
a^8-b^4=(a^4)^2-b^2^2=(a^4-b^2)(a^4+b^2)=(a^2-b)( a^2+b)(a^4+b^2)
x^4-x^8=(x^2-x^4)(x^2+x^4)=(x-x^2)(x+x^2)(x^2+x^4)
a^9-1=(a^3)^3-(1^3)^3=(a-1)(a^2+a+1)(a^6+a^3+1)
Verified answer
а)8(x-y)
б)4(2а-b)
в)4х(1-2)
г)1(9а-1)