1) factorize
25x^2 – 121y^4

2) factorize
x^2 – 5x – 6​

1 thought on “1) factorize<br />25x^2 – 121y^4<br /><br />2) factorize <br />x^2 – 5x – 6​”

1. Answer:

   1.

   [tex](5x + 11 {y}^{2} )(5x – 11 {y}^{2}) [/tex]

   2.

   [tex](x + 1)(x – 6)[/tex]

   Step-by-step explanation:

   1. We have

   [tex]25 {x}^{2} – 121 {y}^{4} \\ = {(5x)}^{2} – {(11 {y}^{2} )}^{2} \\ = (5x + 11 {y}^{2} )(5x – 11 {y}^{2} )[/tex]

   Using (a + b)(a – b) formula

   2. We have

   [tex] {x}^{2} – 5x – 6 \\ = {x}^{2} – 6x + x – 6 \\ = x(x – 6) + 1(x – 6) \\ = (x + 1)(x – 6)[/tex]

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