Ответ:
Внизу
Объяснение:
[tex]4x^2-y^2=(2x)^2-y^2=(2x-y)(2x+y)\\16a^2-b^2=(4a)^2-b^2=(4a-b)(4a+b)\\81k^2-c^2=(9k)^2-c^2=(9k-c)(9k+c)\\\\36x^2-25y^2=(6x)^2-(5y)^2=(6x-5y)(6x+5y)\\\\9a^2-81x^2=(3a)^2-(9x)^2=(3a-9x)(3a+9x)\\49y^2-64c^2=(7y)^2-(8c)^2=(7y-8c)(7y+8c)\\a^2b^2-9=(ab)^2-3^2=(ab-3)(ab+3)\\x^2-c^2y^2=x^2-(cy)^2=(x-cy)(x+cy)\\x^2y^4-1=(xy^2)^2-1^2=(xy^2-1)(xy^2+1)\\[/tex]
1. а) (9-8ху) (9+8ху)
б) (12а²сх-15) (12а²сх-15)
2. а) -5а²+29аb+75b² (неуверенна)
б) ?
3. а) (an-1) (an+1) (n–степень)
б) (х-у²n) (x+y²n) (n–степень)
в) (а²n-b²n) (n–степень)
г) (7х²n-5) (7x²n+5)
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Answers & Comments
Verified answer
Ответ:
Внизу
Объяснение:
[tex]4x^2-y^2=(2x)^2-y^2=(2x-y)(2x+y)\\16a^2-b^2=(4a)^2-b^2=(4a-b)(4a+b)\\81k^2-c^2=(9k)^2-c^2=(9k-c)(9k+c)\\\\36x^2-25y^2=(6x)^2-(5y)^2=(6x-5y)(6x+5y)\\\\9a^2-81x^2=(3a)^2-(9x)^2=(3a-9x)(3a+9x)\\49y^2-64c^2=(7y)^2-(8c)^2=(7y-8c)(7y+8c)\\a^2b^2-9=(ab)^2-3^2=(ab-3)(ab+3)\\x^2-c^2y^2=x^2-(cy)^2=(x-cy)(x+cy)\\x^2y^4-1=(xy^2)^2-1^2=(xy^2-1)(xy^2+1)\\[/tex]
1. а) (9-8ху) (9+8ху)
б) (12а²сх-15) (12а²сх-15)
2. а) -5а²+29аb+75b² (неуверенна)
б) ?
3. а) (an-1) (an+1) (n–степень)
б) (х-у²n) (x+y²n) (n–степень)
в) (а²n-b²n) (n–степень)
г) (7х²n-5) (7x²n+5)