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n(n+5)+2(n+3) = n²+5n+2n+6 = n²+7n +6 = (n+6)(n+1) = (n+6) x (n+1).
The difference between (n+6) and (n+1) is 5, so this is a product of two numbers with a difference of 5.

First write out information from the question.s=4m u=0m/s v=? a=9.8m/s² t=Choose correct "suvat" equation: v²=u²+2asSubstitute in known variables.Obtain v= 8...

(x + 1)/((x^2)*(2x – 1)) = -3/x - 1/x^2 + 6/(2x-1)

4x² + 6x - 4 > 0 2(2x² + 3x - 2) > 0 2(2x - 1)(x + 2) > 0
2x-1 = 0 --> 2x = 1 --> x = 0.5x+2 = 0 --> x = -2
x = 0.5

First we will simplify 4/sqrt(x) so it is easier to integrate.sqrt(x) is equal to x^1/2, therefore 4/sqrt(x) = 4/x^1/2 .We bring up x^1/2 so 4/x^1/2 becomes 4x^...