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LUCENT PUBLICATION-ALGEBRAIC IDENTITIES -Exercise - 1A
- If a ^(2) + b ^(2) = 2 and c^(2) + d ^(2) =1, then the value of (ad - ...
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- (x-a) (x-b) (a-b) +(x-b) (x-c) (b-c) +(x -c) (x -a) (c-a) is equal to...
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- Which one of the following is not a factor of this polynomial x^(8) + ...
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- A factor of a^(4) -11 a^(2) b^(2) +b^(4) is
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- If a^(2) +b^(2) = x, ab = y then the value of (a^(4) +b^(4))/(a^(2) -a...
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- If (a+b)x =a and (a+b) y = b then the value of (x^(2)+y^(2))/(x^(2)-y^...
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- If x=(p+q)/(p-q) and y=(p-q)/(p+q) then the value of (x-y)/(x+y) is
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- If x+(a)/(x) =1 then the value of (x^(3) -x^(2))/(x^(2) +x +a) in term...
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- If ( xy)/( x + y) = a , ( xz)/( x + z) = b and ( yz)/( y + z) = c wh...
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- HCF and LCM of two algebraic expressions are respectively (a + 1) an...
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- If (x^(2)+(1)/(x^(2)))=p, then what is the value of (x^(3)+(1)/(x^(3))...
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- If a+b+c=0, then what is the value of (a^(2)+b^(2)+c^(2))/((a-b)^(2)+(...
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- If y=(x+(1)/(x)), then the expression x^(4) +x^(3) -4x^(2) +x +1=0 can...
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- Value of (2+1) (2^(2) +1) (2^(4) +1) (2^(8) +1) (2^(16) +1) (2^(32) +1...
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- HCF of polynomials x^(3)+3x^(2)y +2xy^(2) and x^(4) +6x^(3)y +8x^(2)y...
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- If pqr = 1, then what is value of the expression (1)/(1+p+q^(-1)) +(1)...
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- If x+y+z=2s, then (s-x)^(3) +(s-y)^(3) +3(s-x) (s-y)z equals
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- If x^(2) = y + z, y^(2) = z + x, z^(2) = x + y then the value of (1)/...
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- Suppose p, q, r are such that p+q=r and pqr = 30, then what is the val...
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- What is the square root of ((x^(5)-1)/(x-1))+(x^(3)+2x^(2)+x) ?
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