^(15)P_(8)=A+8.^(14)P_(7)rArr A=

""^(15)P_(8)=A+8.""^(14)P_(7 )implies A=

If ""^(8)P_(r)=""^(8)P_(r+1) then r is

Evaluate "(i) "^(12)P_(4) " (ii) "^(75)P_(2) " (iii) "^(8)P_(8)

If (1-x+x^(2))^(4)=1+P_(1)x+P_(2)x^(2)+P_(3)x^(3)+...+P_(8)x^(8) , then prove that : P_(2)+P_(4)+P_(6)+P_(8)=40 and P_(1)+P_(3)+P_(5)+P_(7)=-40 .

If (1-x+x^(2))^(4)=1+P_(1)x+P_(2)x^(2)+P_(3)x^(3)+...+P_(8)x^(8) , then prove that : P_(2)+P_(4)+P_(6)+P_(8)=40 and P_(1)+P_(3)+P_(5)+P_(7)=-40 .

Show that ""^(7)P_(5) + 5""(7)P_(4) = ""8P_(5)

If (1-x+x^(2))^(4)=1+P_(1)x+P_(2)x^(2)+P_(3)x^(3)+…….+P_(8)x^(8), then prove that : P_(2)+P_(4)+_(6)+P_(8)=40 " and "P_(1)+P_(3)+P_(5)+P_(7)=-40

Respresentation of following nuclear reactions are as shown below: ._(7)N^(14) + ._(2)alpha^(4) rarr ._(8)O^(17) + ._(1)p^(1), {._(7)N^(14) (alpha, p) ._(8)O^(17)} ._(13)Al^(27) + ._(2)alpha^(4) rarr ._(15)P^(30) + ._(0)n^(1) , {._(13)A^(27) (alpha, n) ._(15)P^(30)} Write the missing particles in representation given below. ._(13)Al^(27), ._(8)O^(17) (--), ._(7)N^(14), ._(15)P^(30) . Also write the corresponding nuclear reaction.