Question

Factories 48x^2-243y^2

Answer 1

i think it helped you. Thank you

Answer 2

$<b>Heya mate. (^_-). Solution below.$
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$<u>Your Question -</u>$

Factorise 48x² - 243y²

$<u>Solution - </u>$

48x² - 243y²

Taking 3 in common,

=> 3 (16x² - 81y²)

= 3 [ (4x)² - (9y)² ]

= 3 [(4x)² - (9y²)]

Now, using the formula a² - b² = (a+b)(a-b), we get

= 3 [(4x + 9y)(4x - 9y)]

= 3 (4x+9y)(4x- 9y)

$<marquee>Hence, the answer is 3(4x + 9y)(4x - 9y)</marquee>$
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Thank you. ;-)