(a²+2ab+b²)(a+b) coba kalikan, caranya gmna ya?
Matematika
ryan602
Pertanyaan
(a²+2ab+b²)(a+b)
coba kalikan, caranya gmna ya?
coba kalikan, caranya gmna ya?
2 Jawaban
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1. Jawaban Sunny3014
(a²*a) +(a²*b) +(2ab*a) +(2ab*b) +(b²*a) +(b²*b)
= a³+a²b+2a²b+2ab²+ab²+b³
= a³+3a²b+3ab²+b³
tanda bintang itu maksudnya dikali ya.. semoga membantu.. -
2. Jawaban Sharon
(a²+2ab+b²) (a+b)
[tex] = {a}^{3} + {a}^{2} b + 2 {a}^{2} b + 2a {b}^{2} + a {b}^{2} + {b}^{3} \\ = {a}^{3} + ( {a}^{2} b + 2 {a}^{2} b) + (2 a{b}^{2} + a {b}^{2} ) + {b}^{3} \\ = {a}^{3} + {3a}^{2} b + 3a {b}^{2} + {b}^{3} [/tex]
Caranya :
a² × a = a^3
a² × b = a²b
2ab × a = 2a²b
2ab × b = 2ab²
b² × a = ab²
b² × b = b^3
Lalu :
a^3 + a²b + 2a²b + 2ab² + ab² + b^3
= a^3 + 3a²b + 3ab² + b^3