Question

factorise:25x^2-36y^2

Answer 1

Simply we can write (5x)²-(6y)²=0

Further to get value of x and y :
25x²-36y²=0
25x²=36y²
25/36=y²/x²
5²/6²=y²/x²

So comparing numerator and denominator
y=5 And x=6

Answer 2

25x² - 36y² = ( 5x + 6y ) ( 5x - 6y )

Given :

The expression 25x² - 36y²

To find :

To factorise the expression

Formula :

a² - b² = ( a + b ) ( a - b )

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

25x² - 36y²

Step 2 of 2 :

Factorise the expression

We use the formula a² - b² = ( a + b ) ( a - b )

$\sf 25 {x}^{2} - 36 {y}^{2}$

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

$\sf = (5x + 6y)(5x - 6y)$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ how many terms are there in an expression 12ab -24b +36a

https://brainly.in/question/22764723

2. On common factorization 12a+9 becomes 3a(4a+3) 

https://brainly.in/question/30544360

3. Solve the equation 12p-11=25

https://brainly.in/question/26811798