The no. of like terms in `9x^3 , 16x^2 y , - 8^3 , 12xy^2 , 6x^3 , 2yx^3` are​

The like terms in 3x(3-2y) and 2(xy+x^2) are

Simplify the expression by combining the like terms: 7x^3 -3x^2y + xy^2 + x^2y - y^3

Identify like terms in the following: -x^(2)y, - 4y^(2)x, 7y^(2), 2x^(2)y, 3y, - 4y^(2), - 100y, 12xy, 10xy^(2), - 6y^(2)x^(2), 4yx, 11x^(2)y^(2) .

Add the following 5y^2x^2, -6xy, 8x^2y^2, 3xy

Factorise: 9x ^(3)- 6x ^(2)+ 12x

Add: (i) 3a - 2b + 5c, 2a + 5b - 7c, -a - b + c (ii) 8a - 6ab + 5b, -6a - ab - 8b, -4a + 2ab + 3b (iii) 2x^(3) - 3x^(2) + 7x - 8, -5x^(3) + 2x^(2) - 4x + 1, 3 - 6x + 5x^(2) - x^(3) (iv) 2x^(2) - 8xy + 7y^(2) - 8xy^(2), 2xy^(2) + 6xy - y^(2) + 3x^(2), 4y^(2) - xy - x^(2) + xy^(2) (v) x^(3) + y^(3) - z^(3) + 3xyz, - x^(3) + y^(3) + z^(3) - 6xyz, - x^(3) - y^(3) - z^(3) - 8xyz (vi) 2 + x - x^(2) + 6x^(3). -6 - 2x + 4x^(2) - 3x^(3). 2 + x^(2). 3 - x^(3) + 4x - 2x^(2)

Find the common factors of the given terms. (i) 12x,36 (ii) 2y,22xy (iii) 14pq, 28p^2q^2 (iv) 2x,3x^2,4 (v) 6abc, 24ab^2, 12a^2b (vi) 16x^3,-4x^2,32x (vii) 10pq, 20qr, 30rp (viii) 3x^2 y^3, 10x^3y^2, 6x^2y^2z

Divide: (i) 5m^(2) - 30 m^(2) + 45m by 5m (ii) 8x^(2) y^(2) - 6xy + 10 x^(2) y^(3) by 2xy (iii) 9x^(2) y - 6xy + 12 xy^(2) by - 3xy (iv) 12x^(4) + 8x^(3) - 6x^(2) by -2x^(2)