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• Fully factorise $$x^4-1$$
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1. Expand $$(x+\frac{1}{2})(x+6)$$. Is it possible factorise this expanded expression so that the factors only contain integer coefficients and constants?
2. Expand $$(x+\frac{1}{2})(2x+6)$$. Is it possible factorise this expanded expression so that the factors only contain integer coefficients and constants?

Stan and Ollie are trying to factorise $$x^2-5x+6$$. Stan writes $$(x-2)(x-3)$$. Ollie writes $$(2-x)(3-x)$$. Are either of them correct? If so, who?