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shalunia
@shalunia
July 2022
1
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Помогите пожалуйста с 31 и 32
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m11m
31.
a⁴ - b⁴
*
ab
=
(a² - b²)(a² + b²)
*
ab
=
(a-b)(a+b) * ab
=
a+b a² + b² a+b a² + b² a+b
= ab(a-b)
При a=√5 -4
b=√5 +4
(√5 -4)(√5 +4)(√5 -4 - √5 -4) = (5-16)(-8) = -11 * (-8) = 88
32.
a³ + b³
*
a² +ab +b²
=
a³ + b³
*
a² + ab +b²
=
ab a⁶ - b⁶ ab (a³ - b³)(a³+b³)
=
a² +ab +b²
=
1
ab(a-b)(a²+ab+b²) ab(a-b)
При a=√15 -5
b=√15 +5
1
=
1
=
(√15 -5)(√15 +5) (√15 -5 -√15 -5) (15-25)(-10)
=
1
= 0.01
100
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Answers & Comments
a⁴ - b⁴ * ab = (a² - b²)(a² + b²) * ab = (a-b)(a+b) * ab =
a+b a² + b² a+b a² + b² a+b
= ab(a-b)
При a=√5 -4
b=√5 +4
(√5 -4)(√5 +4)(√5 -4 - √5 -4) = (5-16)(-8) = -11 * (-8) = 88
32.
a³ + b³ * a² +ab +b² = a³ + b³ * a² + ab +b² =
ab a⁶ - b⁶ ab (a³ - b³)(a³+b³)
= a² +ab +b² = 1
ab(a-b)(a²+ab+b²) ab(a-b)
При a=√15 -5
b=√15 +5
1 = 1 =
(√15 -5)(√15 +5) (√15 -5 -√15 -5) (15-25)(-10)
= 1 = 0.01
100