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Firstly, begin by multiplying both sides of the equation by (x-2) and (x+3), this gives 6(x+3)-2(x-2)=(x+3)(x-2). Expand out the brackets on each side of the equation to give 6x+18-2x+4=x²-2x+3...

(1) x² + 15x + 56 = 0

56 = 1 x 56, 2 x 26, 4 x 14, 7 x 8

7 + 8 = 15

Hence, factorised equation is (x + 7)(x + 8) = 0

First, expand (x-2)²:

= (x-2)(x-2),

= x² - 2x - 2x + 4

= x² - 4x + 4

Add on the +7:

= x² - 4x + 11

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As we know, to find a gradient in a linear function, we have to calculate the difference in the objective function (usually y) by the difference in the choice variable (commonly x), you may know this as r...

A) 6n - 12

B) p(p-5)