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Question
सोपे रूप द्या.
`(8x^3 - 27y^3)/(4x^2 - 9y^2)`
Simplify
Solution
आपणांस माहीत आहे की,
a2 − b2 = (a + b) (a − b)
a3 − b3 = (a − b)(a2 + ab + b2)
`(8x^3 - 27y^3)/(4x^2 - 9y^2)`
= `((2x)^3 - (3y)^3)/((2x)^2 - (3y)^2)`
= `((2x - 3y)[(2x)^2 + (2x) xx (3y) + (3y)^2])/((2x + 3y)(2x - 3y))`
= `((2x - 3y) (4x^2 + 6xy + 9y^2))/((2x + 3y)(2x - 3y))`
= `(4x^2 + 6xy + 9y^2)/(2x + 3y)`
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