simplify 6x 8y 3x2 xy 4y2Solution3x2 xy 4y2 3x2 4xy

simplify

(6x + 8y) / (3x^2 + xy - 4y^2)

Solution

3x² + xy - 4y² = 3x² + 4xy - 3xy - 4y²

or, 3x² + xy - 4y² = x(3x + 4y) - y(3x + 4y)

or, 3x² + xy - 4y² = (x-y)(3x + 4y)

So, (6x + 8y)/(3x² + xy - 4y²) = 2(3x + 4y)/(x-y)(3x + 4y)

or, (6x + 8y)/(3x² + xy - 4y²) = 2/(x-y)

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