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ICSE-IDENTITIES-EXERCISE 12(D)
- If a+ (1)/(a) = 2, find : (ii) a^4 + (1)/( a^4)
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- If m - (1)/(m ) = 5, find : (i) m^(2) + (1)/( m^2)
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- If m - (1)/(m ) = 5, find : (ii) m^4 + (1)/( m^4)
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- If m - (1)/(m ) = 5, find : (iii) m^(2) - (1)/( m^2)
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- If a^(2) + b^(2) = 41 and ab = 4, find : (i) a-b
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- If a^(2) + b^(2) = 41 and ab = 4, find : (ii) a+b
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- If 2a + (1)/(2a) = 8, find : (i) 4a^(2) + (1)/( 4a^2)
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- If 2a + (1)/(2a) = 8, find : (ii) 16 a^(4) + (1)/( 16a^4)
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- If 3x - (1)/(3x ) =5, find : (i) 9x^(2) + (1)/( 9x^2)
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- If 3x - (1)/(3x ) =5, find : (ii) 81x^4 + (1)/( 81x^4)
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- Expand : (i) (3x - 4y +5z)^2
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- Expand : (ii) (2a - 5b - 4c)^2
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- Expand : (5x +3y)^3
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- Expand : (iv) (6a - 7b)^3
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- If a+b+ c=9 and ab + bc +ca = 15, find : a^2 + b^2 + c^2.
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- If a+b+c =11 and a^(2) + b^(2) + c^(2) =81, find : ab + bc + ca.
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- If 3x -4y =5 and xy=3, find : 27x^3 - 64y^3.
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- If a+b=8 and ab=15, find : a^3 + b^3.
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- If 3x + 2y = 9 and xy =3, find : 27 x^3 + 8y^3.
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- If 5x - 4y = 7 and xy =8, find : 125x^3 - 64y^3.
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