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Find-: (3x+4)(3x-5)...

Find-:
`(3x+4)(3x-5)`

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If x : y = 3 : 4 find (3x + 4y) : (5x + 6y) .

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Find the domain of each of the following real valued function: f(x)=(x^2+3x+5)/(x^2-5x+4)

Find the HCF of f(x)=33 (2x + 3)^(2) (3x-4)^(3) (4x-5)^(4) and g(x)= 22 (x+1) (2x + 3) (4x-5)^(2) (4x^(2)-9)

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Evaluate int(5x+2)/(3x-4)dx

Observe the following pattern (1x2)+(2x3)=(2x3x4)/(3)(1x2)+(2x3)+(3x4)=(3x4x5)/(3)(1x2)+(2x3)+(3x4)+(4x5)=(4x5x6)/(3) and find the of (1x2)+(2x3)+(3x4)+(4x5)+(5x6)