Question

If x2+ px +q=(x+ a) (x +b)then factorise x2 pxy + qy2

Answer 1

( x + a )( x + b ) = x² + (a+b) x + ab

∵ x² + px + q = ( x + a )( x + b )

∴ x² + px + q ≡ x² + (a+b)x + ab

∴ p = a+b, q = ab

∴ x² + pxy + qy² = x² + (a+b)xy + aby²

. . . . . . . . . . . . . = x² + axy + bxy + aby²

. . . . . . . . . . . . . = x( x + ay ) + by( x + ay )

. . . . . . . . . . . . . = ( x + ay )( x + by ) ..................... Ans.

Answer 2

Answer:

answer of the given question is (x-by) (x-ay)