Question

Factorise the following (1 to 11) polynomials:
1. (i) x2 + xy – X – Y
2. (i) 5xy + 7y - 5y2 – 7x
3. (i) aểb – ab2 + 3a - 3b
4. (i) 6xy2 – 3xy – 10y + 5
5. (i) x2 + xy(1 + y) + y3
6. (i) ab2 + (a - 1) - 1​

Answer 1

Answer:

(I) (x-1)(x+y)

ii) 5y-7(x-y)

iii) (a-b)(ab+3)

iv) (3xy-1)(2y-1)

v)(x+y2)(x+y)

vi)

Step-by-step explanation:

I) x(x+y)-1(x+y)= (x+y)(x-1)

ii) 5xy-7x+7y-5y2

=x(5y-7)-y(5y-7)=(5y-7)(x-y)

iii) ab(a-b)+3(a-b)= (a-b)(ab+3)

iv) 3xy(2y-1)-1(2y-1)=(3xy-1)(2y-1)

v) X2+xy+xy2+y3= x(x+y)y2(x+y)= (x+y2)(x+y)

vi)