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  • Factorise the following expressions x^2 yz + x y^2 z+ xyz^ 2

Q2 Factorise the following expressions

(IX)

x^2 yz + xy^2 z + xyz^2

Answers (1)

best_answer

We have,
             x^2yz =x \times x \times y \times z
              xy^2z =x \times y \times y \times z
             xyz^2 =x \times y \times z \times z
Therefore,   on factorization we get,
x^2yz+xy^2z+xyz^2 =(x \times x \times y \times z)+(x \times y \times y \times z)+(x \times y \times z \times z)                                         

 =( x \times y \times z)(x + y + z)
 =xyz(x+y+z)

Posted by

Gautam harsolia

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