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Factorise the following expression. ax2y – bxyz – ax2z + bxy2 - Mathematics

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Question

Factorise the following expression.

ax2y – bxyz – ax2z + bxy2 

Sum

Solution

We have,

ax2y – bxyz – ax2z + bxy2 

= x(axy – byz – axz + by2)

= x(axy – axz – byz + by2)

= x[ax(y – z) + by(–z + y)]

= x[(ax + by)(y – z)]

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Chapter 7: Algebraic Expression, Identities and Factorisation - Exercise [Page 234]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 7 Algebraic Expression, Identities and Factorisation
Exercise | Q 88. (xvi) | Page 234
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