Question

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`

Answer 1

1)`7x-42=7(x-6)`
2)`6p-12q=6(p-2q)`
3)`7a^2+14a=7a(a+2)`
4)`-16z+20z^2=4z(5z-4)`
5)`20l^2m+30alm=10lm(2l+3a)`
6)`5x^2y-15xy^2=5xy(x-3y)`
7)`10a^2-15b^2+20c^2=5(2a^2-3b^2+4c^2)`
8)`-4a^2+4ab-4ca=4a(-a+b-c)`
9)`x^2yz+xy^2z+xyz^2=xyz(x+y+z)`
10)`ax^2y+bxy^2+cxyz=xy(ax+by+cz)`.