Question

5. Prove that (x - y) (x+y) +(y-z)(y+z)+(z-x)(z+x)=0
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Answer 1

Answer:

(x-y)(x+ y)+(y-z)(y+ z)+(z-x)(z+ x)

(x²-y²)+(y²-z²)+(z²-x²)

because (a-b)(a+ b)=a²-b²

x²-y²+y²-z²+z²-x²

=0

HENCE PROVED

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Step-by-step explanation: