Algebra-1

the number of terms of expansion with reational co-efficients in the expansion of (35+√3+z)6 is

a) 7 b) 6 c)8 d)9

7 Answers

1
dimensions (dimentime) ·

there will be 7 rational terms

51/3 31/2 z

6 0 0
3 2 1
3 0 3
0 6 0
0 4 2
0 2 4
0 0 6

1
skygirl ·

yes 7 rational terms but chcek your method naa...

1
dimensions (dimentime) ·

is nything wrong !!! in my method

then do correct me

1
skygirl ·

(3√5+√3+z)6

= [(3√5+(√3+z)]6

tr+1 = 6Cr 56-r/3(√3+z)r [r<=6]

tk+1 = rCkzr-k3k/2 [k<=r]

now tr+1 is ratioal if r=0,3,6..

and tk+1 is raional for k=0,2,4,6

so, r k
0 0
3 0,2
6 0,2,4,6.

so 7 rational terms.

1
skygirl ·

no i saw it before you edited....

but still y do it by table form... u may miss some term...

i dunno if u are comfortable its ok :)

actually i feel confused with that method...

341
Hari Shankar ·

@sky multinomial would be better than binomial

1
skygirl ·

@dimension,...okie..it depends.

@prophet sir, will u pls solve this one by multinomial..
i actually dunno it .. [2]

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