need ur help guys to solve this question.
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Step-by-step explanation:
L.H.S=
x∧(a+b) (a-b) ×x∧(b-c) (b+c)× x∧(c-a) (c+a)
x∧(a²-b²)×x∧(b²-c²)×x∧c²-a²
=x∧a²-b²+b²-c²+c²-a²
=X∧0
=1
=R.H.S
L.H.S=R.H.S
ii)L.H.S=x∧(l-m) (l+m-n) ×x∧(m-n) (m+n-l)×x∧(n-l) (n+l-m)
=x∧l²+ml-nl-ml-m²+mn×x∧m²+mn-ml-mn-n²+nl×x∧n²+nl-mn-nl-l²+ml
=x∧(l²-m²+mn-nl+m²-ml-n²+nl+n²-mn-l²+ml)
=x∧0
=1
=R.H.S
L.H.S=R.H.S
iii)L.H.S=x∧(m²+n²+mn) (m-n)×x∧(l²+m²+ml) (l-m)×x∧(n²+l²+nl) (n-l)
=x∧(m³+mn²+m²n+-m²n-n³-mn²)×x∧(l³+m²l-l²m-ml²-m³-lm²)×x∧(n³+nl²-n²l-l³-nl²)
=x∧(m³-n³)×x(l³-m³)×(n³-l³)
=x∧(m³-n³+l³-m³+n³-l³)
=x∧0
=1
=R.H.S
L.H.S=R.H.S
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