Question

Factorize i) 6y? - 24 y

Answer 1

answer for the first one

Answer 2

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) ${x}^{2} + 14xy + 49y$

$= > {x}^{2} + 2 \times x \times 7y + {(7y)}^{2}$

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

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

4) $25 {y}^{2} - 16$

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

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

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

$= > {(3x)}^{2} - 2 \times 3x \times 5 + {(5)}^{2}$

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

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

6) ${p}^{2} + 2p - 15$

$= > {p}^{2} + 5p - 3p - 15$

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

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

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

$= > {y}^{2} + 2y + 6y + 12$

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

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