Объяснение:
[tex](p - 1)(p + 1)( {p}^{2} + 1) = ( {p}^{2} - 1)( {p}^{2} + 1) = {p}^{4} - 1[/tex]
[tex] - (y + 3)(y - 3)( {y}^{2} + 9) = (3 + y)(3 - y)(9 + {y}^{2} ) = (9 - {y}^{2} )(9 + {y}^{2} ) = 81 - {y}^{4} [/tex]
[tex](a + b + 1)(a + b - 1) = {(a + b)}^{2} - 1[/tex]
Разность квадратов: а² - b² = (a-b)(a+b)
д) (р-1)(р+1)(р²+1) = (р²-1)(р²+1) = (р²)² - 1 = р⁴ - 1
е) -(у+3)(у-3)(у²+9) = -(у²-9)(у²+9) = -((у²)² - 9²) = -(у⁴ - 81) = 81 - у⁴
ж) (a+b + 1)(a+b - 1) = (a+b)² - 1
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Объяснение:
[tex](p - 1)(p + 1)( {p}^{2} + 1) = ( {p}^{2} - 1)( {p}^{2} + 1) = {p}^{4} - 1[/tex]
[tex] - (y + 3)(y - 3)( {y}^{2} + 9) = (3 + y)(3 - y)(9 + {y}^{2} ) = (9 - {y}^{2} )(9 + {y}^{2} ) = 81 - {y}^{4} [/tex]
[tex](a + b + 1)(a + b - 1) = {(a + b)}^{2} - 1[/tex]
Разность квадратов: а² - b² = (a-b)(a+b)
д) (р-1)(р+1)(р²+1) = (р²-1)(р²+1) = (р²)² - 1 = р⁴ - 1
е) -(у+3)(у-3)(у²+9) = -(у²-9)(у²+9) = -((у²)² - 9²) = -(у⁴ - 81) = 81 - у⁴
ж) (a+b + 1)(a+b - 1) = (a+b)² - 1