" (a) "54x^(3)-16y^(3)

Find the quotient and remainder of the following. (i) (4x^(3) + 6x^(2) -23x + 18) + (x+3) (ii) (8y^(3) -16y^(2) +16y -15)+( 2y-1) (iii) ( 8x^(3) -1)+( 2x-1) (iv ) (-18z +14z^(2) +24z^(3) + 18) +( 3z+4)

{:("Column" A ,, "Column" B), ((3x^(2) - 5)- (2x^(2) - 5 + y^(2)) ,, (a) x^(2) + xy + y^(2)) , (9x^(2) - 16y^(2) ,, (b) 2) , ((x^(3) - y^(3))/(x-y) ,, (c) (9x + 16y) (9x - 16y)) , ("The degree of " (x + 2) (x+3) ,, (d) x^(2) - y^(2)) , (,, (e) 1) , (,, (f) (3x + 4y) (3x - 4y)):}

Simplify (x+4)/(3x+4y) xx (9x^(2) - 16y^(2))/(2x^(2) +3x-20)

(8,3sqrt3) is a point on the hyperbola 9x^(2) - 16y^(2) = 144.

The HCF of (6x^(4)-13x^(3)+6x^(2)) and (8x^(4)-36x^(3)+54x^(2)-27x) is