Question

a4-b4 divided by a2-ab

Answer 1

Solution :

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We know the algebraic identity:

x² - y² = ( x + y )( x - y )

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Here ,

( a⁴ - b⁴ )/( a² - ab )

= [( a² )² - ( b² )²]/[a(a - b)]

= [( a² + b² )( a² - b² )]/[a(a-b)]

= [(a²+b²)(a+b)(a-b)]/[a(a-b)]

after cancellation,we get

= [ (a² + b² )( a + b ) ]/a

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