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Mathematics 14 Online
OpenStudy (anonymous):

Total number of terms in the expansion (x+a)^80 + (x-a)^80 is ?

OpenStudy (anonymous):

hba is right . 162 because if we have (x+a)^n then the no of terms are n+1 after expansion in binomial series .

OpenStudy (hba):

oh thanks for getting this revised.

OpenStudy (anonymous):

But u see ....i want the answer after expansion

OpenStudy (anonymous):

there are common terms which cancels off in the expansion

OpenStudy (anonymous):

81 terms for first one 81 for the second one so adds up to 162 ..... total no of terms are 162 ... there are some common terms ... let me check it ...

OpenStudy (anonymous):

i guess it to be low because the terms with same powers should be added ...

OpenStudy (anonymous):

i think 41..is the answer...wat u say @sami-21

OpenStudy (anonymous):

(x-a)^80 total terms 81 40 are negative and 41 are positive

OpenStudy (helder_edwin):

it is 41 terms

OpenStudy (helder_edwin):

after cancellation and addition

OpenStudy (anonymous):

(x+a)^80 total terms 81 81 - 40 = 41

OpenStudy (anonymous):

Yup..) thxx.....for Confirming....

OpenStudy (helder_edwin):

exactly as u said it @Yahoo!

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