Question
Write the following in the expanded form:
$(2+x-2 y)^2$
$(2+x-2 y)^2$
✓
Answer
We have,
$(2+x-2 y)^2$
$=2^2+x^2+(-2 y)^2+2(2)(x)+2(x)(-2 y)+2(2)(-2 y)\left[\therefore(x+y+z)^2=x^2+y^2+z^2+2 x y+2 y z+\right.$ $2 x z]$
$=4+x^2+4 y^2+4 x-4 x y-8 y(2+x-2 y)^2$
$=4+x^2+4 y^2+4 x-4 x y-8 y$
$(2+x-2 y)^2$
$=2^2+x^2+(-2 y)^2+2(2)(x)+2(x)(-2 y)+2(2)(-2 y)\left[\therefore(x+y+z)^2=x^2+y^2+z^2+2 x y+2 y z+\right.$ $2 x z]$
$=4+x^2+4 y^2+4 x-4 x y-8 y(2+x-2 y)^2$
$=4+x^2+4 y^2+4 x-4 x y-8 y$
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