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Question
Factorise the expression and divide them as directed:
(3x4 – 1875) ÷ (3x2 – 75)
Solution
We have,
`(3x^4 - 1875) ÷ (3x^2 - 75) = (3x^4 - 1875)/(3x^2 - 75)`
= `(x^4 - 625)/(x^2 - 25)`
= `((x^2)^2 - (25)^2)/(x^2 - 25)`
= `((x^2 + 25)(x^2 - 25))/((x^2 - 25))`
= x2 + 25
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