[" pivide : "],[" (3) "x^(2)-5x+6" by "x-3],[" (6) "a^(4)b+ab^(4)" by "a^(2)-ab+b^(2)],[" (8) "(a^(2)+2ab+b^(2))-(a^(2)+2ac+c^(2))" by "2a+b+c],[" (g) "8x^(3)-1" by "4x^(2)+2x+1]

Divide: (a^(2)+2ab+b^(2))-(a^(2)+2ac+c^(2))by2a+b+c(1)/(4)x^(2)-(1)/(2)x-12by(1)/(2)x-4

If x=2a^(2)+3b^(2)-5ab, y=b^(2)-3a^(2)+7ab and z=6a^(2)-b^(2)+ab , find: x+y-z

If x=2a^(2)+3b^(2)-5ab, y=b^(2)-3a^(2)+7ab and z=6a^(2)-b^(2)+ab , find: x-y+z

Divide: 6x^(4)yz-3xy^(3)z+8x^(2)yz^(2)yz^(4) by 2xyz(2)/(3)a^(2)b^(2)c^(2)+(4)/(3)ab^(2)c^(3)-(1)/(5)ab^(3)c^(2)by(1)/(2)abc

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)

Multiply: (i) 6ab by 4b (ii) 5ab^(2)c^(3) by 7a^(2)bc (iii) -6x^(2)yz by (2)/(3)xy^(3)z^(2) (iv) (-8)/(5)a^(2)bc^(3) by (-3)/(4)ab^(2)c

a^(2)b^(3)x2ab^(2) is equal to: 2a^(3)b^(4)(b)2a^(3)b^(5)(c)2ab (d) a^(3)b^(5)

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

|(a^(2)+x,ab,ac),(ab,b^(2)+x,bc),(ac,bc,c^(2)+x)|

The factors of 8a^(3)+b^(3)-6ab+1 are (a) (2a+b-1)(4a^(2)+b^(2)+1-3ab-2a) (b) (2a-b+1)(4a^(2)+b^(2)-4ab+1-2a+b)(2a+b+1)(4a^(2)+b^(2)+1-2ab-b-2a) (d) (2a-1+b)(4a^(2)+1-4a-b-2ab)