Question

Упростите выражение 1) (х+1)(х-1)-(х+5)(х-5)+(х+1)(х-5) 2)81а^8-(3a^2-b^3)(9a^4+b^6)(3a^2+b^3)

Answer 1

Ответ:

1)x^2 - 4x + 19      2)b^12

Объяснение:

1)(х+1)(х-1)-(х+5)(х-5)+(х+1)(х-5) 2)81а^8-(3a^2-b^3)

x^2 -1-(x^2 - 25) + x^2 - 5x + x - 5

x^2 - 1 - x^2 + 25 x^2 - 5x + x - 5

19 + x^2 - 4x

x^2 - 4x + 19

2)81a^8 - (9a^4 - b^6) (9a^4 + b^6)

81a^8 - (91a^8 - b^12)

81a^8 - 81a^8 + b^12

b^12

Answer 2

Ответ:

$(x + 1)(x - 1) - (x + 5)(x - 5) + (x + 1)(x - 5) = \\ ({x}^{2} - 1) - ( {x}^{2} - 25) + ( {x}^{2} - 5x + x - 5) = \\ 24 + {x}^{2} - 4x - 5 = \\ {x}^{2} - 4x + 19$

Объяснение:

$81 {a}^{8} - (3 {a}^{2} - {b}^{3} )(9 {a}^{4} + {b}^{6} )(3 {a}^{2} + {b}^{3} ) = \\ 81 {a}^{8} - (9 {a}^{4} - {b}^{6} )(9 {a}^{4} + {b}^{6} ) = \\ 81 {a}^{8} - 81 {a}^{8} + {b}^{12} = {b}^{12}$