#binomial expansion pure year 2

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whole otter
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How can I do part b of question 6?

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And also part C

terse jay
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on it

whole otter
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Thanks

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I’ve looked at the mark scheme but I just don’t understand the part B and C

whole otter
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Exercise 4

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Mixed exercises

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Question 6

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Year 2 pure

wary shore
whole otter
wary shore
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oh ok so

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finding a value for x

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so what do you know about what x can be#

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does x have any restrictions

whole otter
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Below 1/3

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Mod

wary shore
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yeah so

whole otter
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They sub in 0.01 in the mark scheme idk why tho

wary shore
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what we can do is guess a bit

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try get something that matches a bit

whole otter
wary shore
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Like if the top is 101 and we have 1+x

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We want smth that looks like 1.01 or smth right

whole otter
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Yh

wary shore
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Yeah so they just spot that 0.01 works

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To actually like deduce it

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You can just set the fraction equal to your 1+x / 1+3x

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And try solve

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So 101/103 = (1+x)/(1+3x)

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That’s how to get it every time but as you can see it’s a bit of algebra work

whole otter
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So they just picked it from common sense, I see

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And trying it

wary shore
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Yeah

whole otter
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Yeah got it now, thanks

wary shore
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Nws