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How do I factorise quadratic equations into brackets?

I would go through with the tutee the 4 steps that would

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v^2=u^2 + 2as u=12 a=-3 s = 18 Find v

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There are n sweets in a bag, 6 of which are red. The rest of the sweets are blue. Jen removes 1 sweet from the bag. Jen then takes another sweet from the bag. The probability that Hannah takes two red sweets is 1/3. Show that n²-n-90=0.

Solve these simultaneously to find values for a and b: 6a + b = 16 and 5a - 2b = 19

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