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LUCENT PUBLICATION-ALGEBRAIC IDENTITIES -Exercise - 1A
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- When x^(40)+2 is divided by x^(4)+1, then what is the remainder?
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- If a = (1+x)/(2-x), then what is (1)/(a+1) + (2a+1)/(a^(2)-1) equal to...
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- If pq + qr + rp = 0, then what is the value of (p^(2))/(p^(2) - qr) + ...
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- If x+y+z=0 then what is the value of (1)/(x^(2)+y^(2)-z^(2)) +(1)/(...
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- If a+b+c=6, a^(2)+b^(2)+c^(2)=14 and a^(3)+b^(3)+c^(3)=36 then value o...
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- If x(x+y+z)=9, y(x+y+z)=16 and z(x+y+z)=144 then what is the value of ...
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- If u,v,ware real numbers such that u^(3) - 8v^(3) - 27w^(3) = 18uvw, w...
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- If a+b+c=0, then what is the value of a^(2)/(bc)+b^(2)/(ca)+c^(2)/(ab)...
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- If (x^(4)+x^(-4))=322, what is one of the value of (x-x^(-1)) ?
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- If x varies as m^(th) power of y, y varies as n^(th) power of z and x ...
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- If x=(b-c)(a-d),y=(c-a)(b-d),z=(a-b)(c-d), then the what is x^(3)+y^(3...
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- If a+b+c=6, a^(2)+b^(2)+c^(2)=26, then ab+bc+ca is equal to
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- If 3x^(3) -2x^(2)y -13xy^(2)+10y^(3) is divided by x-2y, then what wil...
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- If (a+(1)/(a))^(2)=3 then what is the value of 1+a^(6)+a^(12) +a^(18) ...
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