Math, asked by qamar24567890, 8 months ago

plz answer my question​

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Answers

Answered by sharwari774
1

Step-by-step explanation:

please find attached

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Answered by sonuvuce
1

Proof is given below:

To Show That

\Sigma ab(a+b)+2abc=(a+b)(b+c)(c+a)

LHS

=\Sigma [ab(a+b)]+2abc

=ab(a+b)+bc(b+c)+ca(c+a)+2ab

=a^2b+ab^2+b^2c+bc^2+c^2a+ca^2+abc+abc

=a(ab+c^2+ac+bc)+b(ab+bc+c^2+ac)

=(a+b)(ab+ac+c^2+bc)

=(a+b)[a(b+c)+c(b+c)]

=(a+b)(b+c)(c+a)

= RHS                                                     (Proved)

Hope this answer is helpful.

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