Question

Factorice 16(x-y)²-9(x+y)²

Answer 1

Hey user

Here is your answer

16 ( x - y )^2 - 9 ( x + y )^2

= [ 4 ( x - y ) ]^2 - [ 3 ( x + y ) ]^2

According to a^2 - b^2 = ( a + b )( a - b )

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

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

= ( 7x - y )( x - 7x )

Thank you .

Answer 2

$hey \: mate \: here \: is \: ur \: answer \: \\ \\ || 16(x - y) ^{2} - 9(x + y) ^{2}$
$16(x ^{2} + y ^{2} - 2xy) - 9(x ^{2} + y ^{2} + 2xy) \\ \\ 16x ^{2} + 16y ^{2} - 32xy - 9x ^{2} - 9y ^{2} - 18xy$
$7x ^{2} + 7y ^{2} - 40xy$

$so \: my \: dear \: friend \: hope \: it \: helps \: u \:$