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First expand the bracket (x-3)² separately to give x² - 6x +9 Next multiply by the 4 outside the brackets to give 4x² -24x +36 Now all the terms have been expanded you can...

3x + 2y = 12 (2) multiply by 4 (To make the x coefficients equal for both equations)
12x + 8y = 48 (3)
(3) - (1)
12y = 36
Divide through by 12
y = 3
Sub y = 3 into eq...

Factorising the left hand side we get x² + x - 6 = (x + 5)(x - 4). Therefore x² + x - 6 = 0 is the same as (x + 5)(x - 4) = 0. If multiplying two quantities equals 0, this means that...

Using the crab method draw lines from each term in the first bracket to the terms in the next bracket only once ensuring the lines do not crossover. A crab like claw should appear, add terms of the same p...

y=k/d²
substituting:4=k/10²
4=k/100
400=k
d=nx²
substituting:24=n x 2²

24=4n
n=6
Eq1:y=400/d²
Eq2:...