Written in simplest form, the expression (x^2)(y^2)-9 over 3-xy is equivalent to
1 answer:
((x^2)(y^2) - 9) *(3 - xy).
Note difference of two squares: (a^2 - b^2) = (a-b)(a+b)
(x^2)(y^2) - 9 = (xy)^2 - 3 ^2 = (xy - 3)(xy + 3). (Take note)
(3- xy) = -(xy - 3). (Take note of this also)
Your question said: ((x^2)(y^2) - 9) times (3 - xy),
Don't you think it should be divide? Would solve it as divide.
((x^2)(y^2) - 9) /(3 - xy) = (xy - 3)(xy + 3) / -(xy - 3)
= -(xy + 3).
Answer is (3). Solved it as divide. Using times gives none of the solution among the options.
Cheers.
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