Question

What is the solution of a2bc + ab2c + abc2

Answer 1

abc ( a + b + c ) taking out common factor abc out

Answer 2

Given:

A equation- $a^{2} bc+ ab^{2} c+ abc^{2}$.

To Solve:

Find the solution of above given equation.

Solution:

Let, $P=a^{2} bc+ab^{2} c+abc^{2}$

  $P=a^{2}bc+ ab^{2}c + ab c^{2} \\ =a(a)bc + ab(b)c + abc(c)\\ =a(abc) +b(abc)+c(abc)\\ =(abc)(a+b+c)$

Hence,

$P=(abc)(a+b+c)$.

P = 0

if either $abc=0$

or $a+b+c=0$