u1060091 u1060091

27-06-2021
Mathematics

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prove [tex](x+1)^{2}(x+2)=(x^3+3x+21x+1)[/tex] no files

Respuesta :

sreedevi102 sreedevi102

27-06-2021

Answer:

LHS ≠ RHS

Step-by-step explanation:

[tex]LHS =\\\\=(x+1)^2 (x + 2) \\\\=(x^2 + 2x + 1)(x+2)\\\\=x(x^2 + 2x + 1) + 2(x^2 + 2x + 1) \\\\=(x^3 + 2x^2 + x ) + ( 2x^2 + 4x + 2) \\\\=x^3 + 2x^2 + x + 2x^2 + 4x + 2 \\\\=x^3 + 4x^2 + 5x + 2[/tex]

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