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CUET
General Test
Quantitative Reasoning
Algebra
Simplify (xmxn)m+n.(xnxp)n+p.(xp×xm)p−m |
mnp 0 1 m2−p2+n2 |
1 |
( xm-n )m+n × ( xn-p )n+p × ( xp+m )p-m ⇒ (x)m² - n² × (x)n² -p² × (x)p² - m² ⇒ (x)(m² - n² + n² - p² + p² - m²) Here, (m² - n² + n² - p² + p² - m² = 0 ) Therefore, ⇒ x0 = 1
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