Question

1) factorize
25x^2 - 121y^4

2) factorize
x^2 - 5x - 6​

Answer 1

Answer:

1.

$(5x + 11 {y}^{2} )(5x - 11 {y}^{2})$

2.

$(x + 1)(x - 6)$

Step-by-step explanation:

1. We have

$25 {x}^{2} - 121 {y}^{4} \\ = {(5x)}^{2} - {(11 {y}^{2} )}^{2} \\ = (5x + 11 {y}^{2} )(5x - 11 {y}^{2} )$

Using (a + b)(a - b) formula

2. We have

${x}^{2} - 5x - 6 \\ = {x}^{2} - 6x + x - 6 \\ = x(x - 6) + 1(x - 6) \\ = (x + 1)(x - 6)$