Simplify (x+y+z)square - (x-y+z)square
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SOLUTION IS ATTACHED☺
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using the formula (a+b+c)^2 = a^2 +b^2 + c^2 + 2(ab +bc +ca)
here,
= (x+y+z)^2 - (x-y+z)^2
= x^2 +y^2 + z^2 + 2(ab +cb+ca) -[ x^2 +(-y^2) + z^2 + 2(ab+bc+ca)]
=x^2 +y^2 +z^2 + 2(ab+bc+ca)- [x^2+ y^2 + z^2 + 2(ab+bc+ca)]
=x^2 + y^2 +2(ab+bc+ca) - x^2 -y^2 -z^2 -2(ab+bc+ca)
= all will cancel
then then answer is 0
i hope this will help you
-by ABHAY
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