Question

factorize 25x^2-9y^2​

Answer 1

$25 {x}^{2} - 9 {y}^{2} \\ {5}^{2} {x}^{2} - {3}^{2} {y}^{2} \\ {5x}^{2} - {3y}^{2} \\ (5x - 3y) ^{2} \\ (5x - 3y)(5x - 3y)$

hope it helps u ✌

Answer 2

Answer:

Step-by-step explanation:

Given quadratic equation;

                                   =  25x^2-9y^2​;

Using the identity, (a + b)(a - b);

                                  = 25x^2 - 9y^2​;

                                  = (5x)^2 - (3y)^2;

                                  = (5x + 3y)(5x - 3y);              (because, (a+b)(a-b)=a^2 - b^2)

Hence, the required factorized form will be (5x + 3y)(5x - 3y).

That's all.