Question

factors of 144a⁴ - 25b² by using difference of two squares

Answer 1

Answer:

$( \sqrt{12}a + \sqrt{5} b)( \sqrt{12} a - \sqrt{5} b)(12 {a}^{2} + 5 {b}^{2} )$

Step-by-step explanation:

$144 {a}^{4} - 25 {b}^{4} = (12 {a}^{2} - 5 {b}^{2} )(12 {a}^{2} + 5 {b}^{2} ) \\ \\ = ( \sqrt{12}a + \sqrt{5} b)( \sqrt{12} a - \sqrt{5} b)(12 {a}^{2} + 5 {b}^{2} )$