The two adjacent sides of a rectangle are 2x^2 -5xy +3z^2 and 4xy -x^2 -z^2, find it's perimeter
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Let a and b be two adjacent sides of rectangle.
Then we know perimeter of rectangle will be 2(a+b).
Here two adjacent sides are 2x 2 −5xy+3zand 4xy−x 2−z 2 .
Thus perimeter = 2(a+b)=2(2x 2 −5xy+3z+4xy−x 2−z 2 )
=2(x 2 +2z 2−xy)
=2x 2+4z2 −2xy
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