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Multiply out brackets x 2 = 4(x 2 - 6x + 9)x 2 = 4x 2 - 24x + 36 Minus x 2 from both sides 3x 2 -24x + 36 = 0 Divide equation by 3x 2 - 8x + 12 = 0 What 2 numbers add to make -8 and multiply to make 12? -6 a...

These are a pair of simultaneous equations.First, we can equate two of the coefficients in each equation (let's choose x) by multiplying each equation respectively.With our first equation, multiply it by 2: ...

The probability that the first sweet is orange is 6/n, as 6 of the n number of sweets are orange. After an orange sweet is eaten, there are 5 orange sweets left and n-1 total sweets in the bag. This means th...

In bar 7 Vaughn Williams uses a rising phrase to reflect the text 'shining'. This could be to reflect how the sun rises as it shines in the same way the musical phrase does. This is followed by the phrase 't...

The general form of factorising is that if we have ab+ac, we can rewrite this as a(b+c). We multiply each statement inside the bracket by a. So we’re effectively ripping out common terms. We are dividing b a...