Question

9x2-30xy+25y2 factorisation

Answer 1

Answer:

= ( 3x-5y ) ( 3x+5y )

Step-by-step explanation:

= 9x^2-30xy+25y^2

= ( 3x)^2 - 2*3x*5y + ( 5y)^2

= ( 3x-5y )^2

= (3x-5y) (3x+5y)

Answer 2

9x² - 30xy + 25y² = (3x - 5y) (3x - 5y)

Given :

The expression 9x² - 30xy + 25y²

To find :

To factorise the expression

Formula :

(a - b)² = a² - 2ab + b²

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is 9x² - 30xy + 25y²

Step 2 of 2 :

Factorise the expression

We use the formula (a - b)² = a² - 2ab + b²

$\sf 9 {x}^{2} - 30xy + 25 {y}^{2}$

$\sf = {(3x)}^{2} - 2.3x.5y + {(5y)}^{2}$

$\sf = {(3x - 5y)}^{2}$

$\sf = (3x - 5y)(3x - 5y)$

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