Question

X^2y^2+40xyz-225z^2 find factor through the split method

Answer 1

Answer

x^2y^2+40xyz-225z^2

sum = 40. product - 225

= (5×3×3 - 5. , 5×3×3 × - 5 )

= ( 45. , -5. )

= x^2y^2 + 45x^2y^2 - 5z^2 - 225z^2

= (x^2y^2 + 45x^2y^2 ) (-5z^2 -225z&2 )

= x^2y^2 (1+45) - 5z^2 (1+45 )

= ( x^2y^2 - 5z^2 ) , (1 + 45 )

= therefore (x^2y^2 -5z^2)

(1 + 45 )

are the factors