निम्नलिखित व्यंजकों के गुणनखंड कीजिएः
(i) `7x-42` (ii) `6p-12q` (iii) `7a^(2)+14a`

(i) x^(2)-7x+12=0 (ii) y^(2)+y-12=0

Factorise the following expressions. (i) 7x - 42 (ii) 6p - 12q (iii) 7a^2 + 14a (iv) -16z + 20z^3 (v) 20l^2m + 30a l m (vi) 5x^2y - 15xy^2 (vii) 10a^2 - 15b^2 + 20c^2 (viii) -4a2 + 4ab - 4ca (ix) x^2yz + xy^2z + xyz^2 (x) ax^2y + bxy^2 + cxyz

Factorise the following expressions. (i) 7x - 42 (ii) 6p - 12q (iii) 7a^2 + 14a (iv) -16z + 20z^3 (v) 20l^2m + 30a l m (vi) 5x^2y - 15xy^2 (vii) 10a^2 - 15b^2 + 20c^2 (viii) -4a^2 + 4ab - 4ca (ix) x^2yz + xy^2z + xyz^2 (x) ax^2y + bxy^2 + cxyz

I. p^(2) - 7p=- 12 II. q^(2) - 3q+2=0

Intergrate w.r.t. x.: (i) x^(11//2) (ii) x^(-7) (iii) x^(p//q)

Intergrate w.r.t. x.: (i) x^(11//2) (ii) x^(-7) (iii) x^(p//q)

Intergrate w.r.t. x.: (i) x^(11//2) (ii) x^(-7) (iii) x^(p//q)

Solve the following quadratic equations by factorisation method : (i) x^(3) - 4x + 3 = 0 (ii) m^(2) - m - 2 = 0 (iii) p^(2) + 9p + 20 =0 (iv) q^(2) + q-12= 0 (v) y^(2) + 2y - 35= 0 (vi) 3x^(2) + 5x= 0 (vii) x^(2) - 7x + 12=0 (viii) x^(2) - 7x - 18 = 0

factorise i) 12x^(2)-7x+1 ii) 6x^(2)+5x-6

Find the cubes of the following numbers : (i) 7 (ii) 12 (iii) 16