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2n is even, so (2n+1) is odd ; Multiplying even by odd gives: 2n(2n + 1) ; which is a multiple of 2, thus even * odd = even.

SUVAT equations give s = vt ; v = 32mph ; t = 1h 15mins = 1.25h ; s = 32 * 1.25 = 40 miles

Completing the square is a method that can be used to solve the quadratic equation x^2+6x+14 in the form of (x+a)^2+b. The way we find a and b is as follows:For co...

Factorising takes the form of (x+a)(x+b) where in this case: a+b = 4 anda*b=4this is taken from the original equations coefficient to x and the constant value.factorising gives (x+2)(x+2) which is ...

cos(30) x tan (60) + sin (30) = (√3)/2 x √3 + 1/2 = 3/2 + 1/2 = 4/2 = 2