Find the value of \frac{\a^2 - \b^2}{\a-\b}- \frac{\a^3-\b^3}{\a^2-\b^2}

RRB Assistant Loco Pilot and Technician Model Paper 2 with solutions

Question : 1 of 75

Marks: +1, -0

Find the value of

{\a^2 - \b^2}/{\a-\b}- {\a^3-\b^3}/{\a^2-\b^2}

Solution:

{ a ^ { 2 } - b ^ { 2 } } /{ a - b } - { a ^ { 3 } - b ^ { 3 } }/ { a ^ { 2 } - b ^ { 2 } }

{ ( a + b ) ( a - b ) } /{ a - b }

{ [ ( a - b ) ( a ^ { 2 } + a b + b ^ { 2 } ] }/ { ( a + b ) ( a - b ) }

= a + b -

{ ( a ^ { 2 } + a b + b ^ { 2 } ) }/ { a + b }

{ a ^ { 2 } + 2 a b + b ^ { 2 } - a ^ { 2 } - a b - b ^ { 2 } }/ { a + b }

{ a b } /{ a + b }

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