Question

Factorise: 54x^2 – 96y^2

Answer 1

Step-by-step explanation:

$54 {x}^{2} - 9 6{y}^{2}$

$= 6(9 {x}^{2} - 16 {y}^{2} )$

$= 6( {(3x)}^{2} - {(4y)}^{2} )$

$= 6(3x + 4y)(3x - 4y)$

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Answer 2

Answer:

$\pink{Question}$

• Factorise : 54x² - 96y²

$\pink{To\:find}$

• We have to factorise the given expression.

$\pink{Solution}$

= 54x² - 96y²

= 6(9x² - 16y²)

= 6[(3x)² - (4y)²]

Now we will use the the formula

$\blue\leadsto$ (a - b)² = a² - 2ab + b²

= 6[(3x + 4y)(3x - 4y)]

= 6(3x + 4y)(3x - 4y)

•°• 54x² - 96y² = 6(3x + 4y)(3x - 4y)

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$\green{Additional\: information}$

• What is factorise?

$\bold\red\leadsto$ Factorise is another way of writing an expression as a product using brackets.

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