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C2 Bionomial Expansion

"Use the binomial theorem to expand (3+10x)^4"
I managed to do this fine and got:
81+1080x+5400x^2+12000x^3+10,000x^4

Only thing, I'm struggling with is this next part, and questions similiar to this
"Hence by choosing a suitable value for x find the exact value of (1003)^4"
3 + 10x = 1003
What is x? How can you apply this to what you've done so far?
Reply 2
Original post by loperdoper
3 + 10x = 1003
What is x? How can you apply this to what you've done so far?


so x=100

Would you sub this into (3+10x)^4?
Reply 3
Original post by loperdoper
3 + 10x = 1003
What is x? How can you apply this to what you've done so far?


so x=100

Would you sub this into (3+10x)^4?


Actually no you wouldn't do that, I have no idea what you'd do
Reply 4
Original post by Mohammed212
Are you sure its 1003 i think it may be 1.003


Most definitely 1003
Reply 5
Original post by Bevin
so x=100

Would you sub this into (3+10x)^4?


Actually no you wouldn't do that, I have no idea what you'd do


You'd sub x=100 into the expanded version to gain an approximation for (1003)^4, if that's what the question requires?


Posted from TSR Mobile
oh did you manage to do the rest of the question
Original post by Bevin
so x=100

Would you sub this into (3+10x)^4?


if you sub it into (3+10x)^4, you get (1003)^4, so you have a suitable value for x

Where else does x appear in your working?
(edited 9 years ago)

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