Let P BE A PRODUCT GIVEN BY P=(X+A1)(X+A2)(X+A3)…………….(X+AN) LET S1=A1+A2+A3……….+AN S2=∑∑Ai*AJ WHERE I

Question

Let P BE A PRODUCT GIVEN BY P=(X+A1)(X+A2)(X+A3)…………….(X+AN)

LET S1=A1+A2+A3……….+AN

**S2=∑∑AiAJ WHERE I

P=X^N+(S1X^N-1)+(S2X^N-2)………………………+SN

Q.1 THE COEFFICIENT OF X^8 IN THE EXPRESSION (2+X)^2(3+X)^3*(4+X)^4

Q.2 THE COEFFICIENT OF X^203 IN THE EXP.

(X-1)(X^2-2)………… .(X^20-20)**

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SHAIK AASIF AHAMED · Answer

Hello student,
Please find the answer to your question below
2)This can be obtained by multiplying all the x terms leaving the coefficient of x7. ( 1.e. x7, x6* x1, x5*x2, x4*x3)..
There coefficient of x²⁰³ will be ( -7 + 6 *1+ 5*2 +4 * 3) = 21
I could not understand the symbols and notations in 1^stquestion please check that question and post it correctly

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