c is a positive integer. Prove that (6c^3 + 30c) / (3c^2 +15) is an even number.

  1. We aim to factorise the numerator. This would give 6c(c^2 + 5).

  2. We then factorise the denominator. This would give 3(c^2 + 5).

  3. Since (c^2 + 5) is present in both the numerator and denominator, it will cancel.

  4. This leaves us with 6c/3, which simplifies to 2c.

  5. This is an even number because 2 times a positive integer would give an even number.

Answered by Oliver B. Maths tutor

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Complete Question won't fit here. Please see Explanation. Thanks.


How do you solve a set of three similatenous equations with three unknown variables?


Expand the brackets: (x-3)(x+4)


Factorise and solve x^2 - 8x + 15 = 0


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