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Question
Simplify `(x + 4)/(3x + 4y) xx (9x^2 - 16y^2)/(2x^2 + 3x - 20)`
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Solution
9x2 – 16y2 = (3x)2 – (4y)2
= (3x + 4y) (3x – 4y)
2x2 + 3x – 20 = 2x2 + 8x – 5x – 20
= 2x (x + 4) – 5 (x + 4)
= (x + 4) (2x – 5)
`(x + 4)/(3x + 4y) xx (9x^2 - 16y^2)/(2x^2 + 3x - 20) = ((x + 4) xx (3x + 4y)(3x - 4y))/((3x + 4y)(x + 4)(2x - 5))`
= `(3x - 4y)/(2x - 5)`
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