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ellyvebber
@ellyvebber
September 2021
1
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Помогите пожалуйста!
1.Разложите на множители многочлен:
ав^2+a^2в-а^3-в^3
2. (a-6)^2-3a(a-4)
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zhenyaM2002
Verified answer
Ab² +a²b -a³ -b³ = ab(b+a) - (a³+b³) =
= ab(b+a ) - (a+b)(a²-ab+b²) = (ab- (a²-ab+b²))(a+b)=
=(-a²+2ab-b²)(a+b) = - (a²-2ab +b²)(a+b) = -(a-b)²(a+b)
(a-6)² -3a (a-4) = (a²-12a+36) -3a²+12a=
=-2a²+36 = -2 (a² -18 ) = -2 (a-√18)(a+√18)
2 votes
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ellyvebber
Спасибо)
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Answers & Comments
Verified answer
Ab² +a²b -a³ -b³ = ab(b+a) - (a³+b³) == ab(b+a ) - (a+b)(a²-ab+b²) = (ab- (a²-ab+b²))(a+b)=
=(-a²+2ab-b²)(a+b) = - (a²-2ab +b²)(a+b) = -(a-b)²(a+b)
(a-6)² -3a (a-4) = (a²-12a+36) -3a²+12a=
=-2a²+36 = -2 (a² -18 ) = -2 (a-√18)(a+√18)