Question

Factorise :
1. 6xy+4-8x-3y
2. 5ac²+2acd-10bcd-4bd²
3. 15ab-20bc+12ac-25b²

Plz answer all

Answer 1

Answer :

1. 6xy+4-8x-3y

           Rearranging the terms

6xy-3y - 8x+4

=3y(2x-1) + 4(1-2x)

=3y(2x-1) - 4(1-2x)

= (3y-4) (2x-1)

2. 5ac²+2acd-10bcd-4bd²

=ac(5c+2d) - 2bd(5c+2d)

= (5c+2d) (ac-2bd)

3. 15ab-20bc+12ac-25b²

                   Rearranging the terms

15ab-25b² - 20bc+12ac

=5b(3a-5b) - 4c(5b-3a)

=5b(3a-5b) + 4c (-5b+3a)

= (3a-5b) (5b+4c)

Answer 2

SolutioN :

1. 6xy+4-8x-3y

           Rearranging the terms

6xy-3y - 8x+4

=3y(2x-1) + 4(1-2x)

=3y(2x-1) - 4(1-2x)

= (3y-4) (2x-1)

2. 5ac²+2acd-10bcd-4bd²

=ac(5c+2d) - 2bd(5c+2d)

= (5c+2d) (ac-2bd)

3. 15ab-20bc+12ac-25b²

                   Rearranging the terms

15ab-25b² - 20bc+12ac

=5b(3a-5b) - 4c(5b-3a)

=5b(3a-5b) + 4c (-5b+3a)

= (3a-5b) (5b+4c)