2.Write each of the following in product form :
(a) `a^2b^5`
(b)`8x^3`
(c)`17a^3b^4`
(d)`15a^9b^8c^6`
(e)`30x^4y^4z^5`
(f)`43p610q^5r^4`
(g)`27p^12q^2`
(h)`8x^2y^3z^3`

Write each of the following in the product form: a^(2)b^(5) (ii) 8x^(3) (iii) 7a^(3)b^(4)

Write each of the following in product form: 4a^(3)( ii) x^(8)( iii) 7p^(2)q^(3)9ab^(3)(v)10x^(3)y^(3)z^(3)

Write each of the following in the product form: 15a^(9)b^(8)c^(6)( ii) 30x^(4)y^(4)z^(5) (iii) 43p^(10)q^(5)r^(15)17p^(12)q^(20)

Factorize each of the following : (i)8a^(3)+b^(3)+12a^(2)b+6ab^(2)(ii)27p^(3)-(9)/(2)p^(2)+(p)/(4)-(1)/(216)

Express each of the products as a monomials and verify the result for x=1,y=2 : ((4)/(9)abc^(3))x(-(27)/(5)a^(3)b^(2))x(-8b^(3)c)

Factorize each of the following expressions: 2p(a-b)+3q(5a-5b)+4r(2b-2a)ab(a^(2)+b^(2)-c^(2))+bc(a^(2)+b^(2)-c^(2))-ca(a^(2)+b^(2)-c^(2))x(x^(2)+y^(2)-z^(2))+y(-x^(2)-y^(2)+z^(2))-z(x^(2)+y^(2)-z^(2))

Which of the following planes are parallel but not identical? P_(1):4x-2y+6z=3,P_(2):4x-2y-2z=6,P_(3):-6x+3y9z=5,P_(4):2x-y-z

Divide the given polynomial by the given monomial.( i (5x^(2)-6x)-:3x (ii) (3y^(8)-4y^(6)+5y^(4))-:y^(4)( iii) 8(x^(3)y^(2)z^(2)+x^(2)y^(3)z^(2)+x^(2)y^(2)z^(3))-:4x^(2)y^(2)z^(2)(iv)(x^(3)+2x^(2)+3x)-:2x(v)(p^(3)q^(6)-p^(6)q^(3))-:p^(3)q^(3)

Solve the following equations, using inverse of a matrix : {:(8x+4y+3z=18),(2x+y+z=5),(x+2y+z=5):}

If 2x+y=5 and 3x-4y=2, then the value of 2xy is (a) 4 (b) 6 (c) 8 (d) 10