Multiple Choice Questions

What is the lowest common multiple of ab x2 1 x a2 b2 and ab x2 ndash 1 x a2 ndash b2 ...........

Quantitative Aptitude (CDS) Algebra

What is the lowest common multiple of ab (x² + 1) + x (a² + b²) and ab (x²– 1) + x(a² – b²)?

(a) (a² x² – b²) (a + bx)

(b) (a² x² – b²) (a + bx)²

(d) (a² x² – b²) (a − bx)²

We have, ab (x² + 1) + x (a² + b²).

= abx² + ab + a²x + b²x = ax(a + bx) + b(a + bx)

= (a + bx) (ax + b)

and ab (x²– 1) + x (a²– b²)

= abx²– ab + a²x –b²x = ax(a + bx) - b(a+bx) = (a + bx)(ax – b)

Lowest common multiple = (a + bx) (ax + b) (ax– b)

= (a + bx) (a²x² – b²)

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