Question

factorise the following 25 x2 - 9a2 k2​

Answer 1

Answer:

(5x+3ak) (5x-3ak)

Step-by-step explanation:

From the question,

$25 {x}^{2} - 9 {a}^{2} {k}^{2} \\ = {(5x)}^{2} - {(3ak)}^{2}$

$(since \: {a}^{2} - {b}^{2} = (a + b)(a - b) \: )$

So,

${(5x)}^{2} - {(3ak)}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: =(5x + 3ak)(5x - 3ak)$

Hence, the answer is (5x+3ak) (5x-3ak).