गुणनखण्ड कीजिए :
(i) `9x^(2)+6xy+y^(2)`
(ii) `4y^(2)-4y+1`

Factorise the following using appropriate identities : (i) 9x^(2)+6xy+y^(2) " " (ii) 4y^(2)-4y+1 " " (iii) x^(2)-(y^(2))/(100)

Factorise the following using appropriate identities : (i) 9x^(2)+6xy+y^(2) " " (ii) 4y^(2)-4y+1 " " (iii) x^(2)-(y^(2))/(100)

12xy (9x ^ (2) -16y ^ (2)) -: 4xy (3x + 4y)

Factorise : 6x^(2) y + 9xy^(2) + 4y^(3)

If A = 7x^(2) + 5xy - 9y^(2), B = - 4x^(2) + xy + 5y^(2) and C = 4y^(2) - 3x^(2) - 6xy then show that A + B + C = 0

Add 9x^(2) + 13xy + y^(2) and 6y^(2) - 2xy + 21x^(2)

Subtract: (i) 5a + 7b - 2c from 3a - 7b + 4c (ii) a - 2b - 3c from -2a + 5b - 4c (iii) 5x^(2) - 3xy + y^(2) from 7x^(2) - 2xy - 4y^(2) (iv) 6x^(3) - 7x^(2) + 5x - 3 from 4 - 5x + 6x^(2) - 8x^(3) (v) x^(3) + 2x^(2) y + 6xy^(2) - y^(3) from y^(3) - 3xy^(2) - 4x^(2) (vi) -11 x^(2) y^(2) + 7xy - 6 from 9x^(2) y^(2) - 6xy + 9 (vii) -2a + b + 6d from 5a - 2b - 3c

{:("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)):}

Factorise the following using appropriate identities. (i) 16x ^(2) + 24xy + 9y ^(2) (ii) 4y ^(2) - 4y +1