Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

Question #919b3

1 Answer

Jan 31, 2017

$36 x^{2} - 25 = (6 x + 5) (6 x - 5)$ $36x^2-25=(6x+5)(6x-5)$

Explanation:

Using the difference of squares formula $a^{2} - b^{2} = (a + b) (a - b)$ $a^2-b^2 = (a+b)(a-b)$ , we have

$36 x^{2} - 25 = 6^{2} x^{2} - 5^{2}$ $36x^2-25 = 6^2x^2-5^2$

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

$= (6 x + 5) (6 x - 5)$ $=(6x+5)(6x-5)$

Related questions

See all questions in Factorization of Quadratic Expressions

Impact of this question

1689 views around the world

You can reuse this answer
Creative Commons License