1) (5x+y)(y-5x)=y^2-(5x)^2=y^2-25x^2
2)(3c-2m^2)(3c+2m^2)=(3c)^2-(2m^2)^2=9c^2-4m^4
3)(4b^3+2a)(2a-4b^3)=(2a)^2-(4b^3)^2=4a^2-16b^6
4)(x^3y^2-1)(1+x^3y^2)=(x^3y^2)^2-1^2=x^6y^4-1
5)(x^3n+y^n)(x^3n-y^n)=(x^3n)^2-(y^n)^2=x^6n-y^2n
6)(a^n-1)(a^n+1)=(a^n)^2-1^2=a^2n-1
1) у^2-25х^2
2)9с^2-4m4
3)4a^2-16b^6
4)x^9y^2-1
5)x^9n^2-y^n^2
6)a^n^2-1
Объяснение:
Просто же :
x^2-y^2=(x-y)*(x+y)
1) (5x+y)(y-5x)=y^2-(5x)^2=y^2-25x^2
2)(3c-2m^2)(3c+2m^2)=(3c)^2-(2m^2)^2=9c^2-4m^4
3)(4b^3+2a)(2a-4b^3)=(2a)^2-(4b^3)^2=4a^2-16b^6
4)(x^3y^2-1)(1+x^3y^2)=(x^3y^2)^2-1^2=x^6y^4-1
5)(x^3n+y^n)(x^3n-y^n)=(x^3n)^2-(y^n)^2=x^6n-y^2n
6)(a^n-1)(a^n+1)=(a^n)^2-1^2=a^2n-1
1) у^2-25х^2
2)9с^2-4m4
3)4a^2-16b^6
4)x^9y^2-1
5)x^9n^2-y^n^2
6)a^n^2-1
Объяснение:
Просто же :
x^2-y^2=(x-y)*(x+y)