Question

factorise ( 5a + 2/3)^2 - ( 2a - 1/3)^2

Answer 1

We have :-

=> (5a + ⅔)² - (2a - ⅓)²

Using : a² - b² = (a + b)(a - b)

=> (5a + ⅔ + 2a - ⅓)(5a + ⅔ - 2a + ⅓)

=> (7a + ⅓)(3a + 1)

Hope, it'll help you.....

Answer 2

To factorise

→

${(5a + \frac{2}{3} )}^{2} - {(2a - \frac{1}{3}) }^{2}$

Using the identity :

${x}^{2} - {y}^{2} = (x + y)(x - y)$

____________________

(Directly adding)

$(7a + \frac{1}{3})(7a - \frac{1}{3})$

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