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- ?Lv 76 years ago
Factor the denominator as the difference of two squares. Then factor 3√x + 7√y from the numerator.
(5√x + 4√y)/(3√x - 7√y)
- DWReadLv 76 years ago
Let a = √x, b = √7.
(15x+28y+47√x√y)/(9x-49y) = (15a²+28b²+47ab)/(9a²-49b²)
= (15a²+47ab+28b²)/((3a)²-(7b)²)
= (3a+7b)(5a+4b)/((3a+7b)(3a-7b))
= (5a+4b)/(3a-7b)
= (5√x+4√y)(3√x-7√y)
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