Question

Write the following in the expanded form:

(xi) $(2x-y+z{)}^2$

Answer 1

Given, $(2x-y+z{)}^2$
Using Identity,
$(a+b+c{)}^2=a^2+b^2+c^2+2ab+2bc+2ca$
$\therefore (2x-y+z{)}^2$
$=(2x{)}^2+(-y{)}^2+z^2+2\times \left(2x\right)\times (-y)+2\times (-y)\times z+2\times \left(2x\right)\times z$
$=4x^2+y^2+z^2-4xy-2yz+4xz$

Hence, $(2x-y+z{)}^2=4x^2+y^2+z^2-4xy-2yz+4xz.$