Solving in terms of $t$?

Question

If $m=t^3$ for any positive integer $t$, and if $w=m^2 +m,\;$ what is $w$ in terms of $t$ ? From what I tried so far I set $m=t^3.$ Thus I get $t^3=t^3\cdot t^2 \cdot t.$ Is this close to the answer?

Could you have a look at your final equation, and fix the exponent you missed? (typo) Thanks! — gnometorule, Mar 02 '13 at 18:28

score 5 · Accepted Answer · answered Mar 02 '13 at 18:25

5

Hint: $$w=m^2+m=(t^3)^2+(t^3)$$ Do you know how to simplify $(t^3)^2$ ?

answered Mar 02 '13 at 18:25

Zev Chonoles

129,973

1

you multiply the exponents 3 times 2 which gives you t^6 – Jon Mar 02 '13 at 18:27
Yup, that's right! So the final answer is $$w=t^6+t^3$$ – Zev Chonoles Mar 02 '13 at 18:31
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@Little Jon: correct. So plug it in – Ross Millikan Mar 02 '13 at 18:33
Thank you for the explanation! – Jon Mar 02 '13 at 18:36

Solving in terms of $t$?

1 Answers1