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Question
सोपे रूप द्या.
`(x^2 - 5x - 24)/((x + 3)(x + 8)) xx (x^2 - 64)/((x - 8)^2)`
Simplify
Solution
आपणांस माहीत आहे की,
a2 − b2 = (a + b) (a − b)
a3 − b3 = (a − b)(a2 + ab + b2)
`(x^2 - 5x - 24)/((x + 3)(x + 8)) xx (x^2 - 64)/((x - 8)^2)`
= `(x^2 - 8x + 3x - 24)/((x + 3)(x + 8)) xx ((x)^2 - (8)^2)/(x - 8)^2`
= `(x(x - 8) + 3(x - 8))/((x + 3)(x + 8)) xx ((x + 8)(x - 8))/((x - 8)(x - 8))`
= `((x + 3)(x - 8))/((x + 3)(x + 8)) xx ((x + 8)(x - 8))/((x - 8)(x - 8))`
= 1
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