Question

Factorize i) 6y? - 24 y

ii) 6pq - 4q + 6 - 9p
iii) x² + 14xy + 49y?
iv) 25y? - 16
v) 9x? – 30x + 25
vi) p+2p
-15
vii) y + 8y +12​

Answer 1

1)
`6 {y}^(2) - 24y`

`= > 6y(y - 4)`

2)
`6pq - 4q + 6 - 9p`

`= > (6pq - 4q) + ( - 9p + 6)`

`= > [2q(3p - 2)] + [- 3( 3p - 2)]`

`= > 2q(3p - 2) - 3(3p - 2)`

`= > (3p - 2)(2q - 3)`

3)
`{x}^(2) + 14xy + 49y`

`= > {x}^(2) + 2 * x * 7y + {(7y)}^(2)`

`= > {(x + 7y)}^(2)`

`= > (x + 7y)(x + 7y)`

4)
`25 {y}^(2) - 16`

`= > {(5y)}^(2) - {4}^(2)`

`= > (5y + 4)(5y - 4)`

5)
`9 {x}^(2) - 30x + 25`

`= > {(3x)}^(2) - 2 * 3x * 5 + {(5)}^(2)`

`= > {(3x - 5)}^(2)`

`= > (3x - 5)(3x - 5)`

6)
`{p}^(2) + 2p - 15`

`= > {p}^(2) + 5p - 3p - 15`

`= > p(p + 5) - 3(p + 5)`

`= > (p + 5)(p - 3)`

7)
`{y}^(2) + 8y + 12 = 0`

`= > {y}^(2) + 2y + 6y + 12`

`= > y(y + 2) + 6(y + 2)`

`= > (y + 2)(y + 6)`

Answer 2

answer for the first one