Question

faktorkan selengkapnya

1) 9y²₋ 1
2) 18 - 32p²
3) 12 - 75x²
4) 24y² - 54
5) 75x² - 27

Answer 1

$<b><h3>a² - b² = ( a + b ) ( a - b )</b></h3>$

1) 9y² - 1

= ( 3y )² - ( 1 )²

= $<u>( 3y + 1 ) ( 3y - 1 )</u>$




2) 18 - 32p²

= 2 ( 9 - 16p² )

= 2 [ ( 3 )² - ( 4p )² ]

= 2 [ ( 3 + 4p ) ( 3 - 4p ) ]

= $<u>( 2 ) ( 3 + 4p ) ( 3 - 4p )</u>$




3) 12 - 75x²

= 3 ( 4 - 25x² )

= 3 [ ( 2 )² - ( 5x )² ]

= 3 [ ( 2 + 5x ) ( 2 - 5x ) ]

= $<u>( 3 ) ( 2 + 5x ) ( 2 - 5x )</u>$




4) 24y² - 54

= 6 ( 4y² - 9 )

= 6 [ ( 2y )² - ( 3 )² ]

= 6 [ ( 2y - 3 ) ( 2y + 3 ) ]

= $<u>( 6 ) ( 2y - 3 ) ( 2y + 3 )</u>$




5) 75x² - 27

= 3 ( 25x² - 9 )

= 3 [ ( 5x )² - ( 3 )² ]

= 3 [ ( 5x - 3 ) ( 5x + 3 ) ]

= $<u>( 3 ) ( 5x - 3 ) ( 5x - 3 )</u>$