Question

plz help me to find this plz pl

Answer 1

1) M² - 2MN + N² - p²

$<b>a² - 2ab + b² = ( a - b )²</b>$

= ( M - N )² - p²

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

= [ ( M - N ) + p ] [ ( M - N ) - p ]

= ( M - N + p ) ( M - N - p )




2) ( p + q )² - ( p - q )²

$<b>( a + b )² - ( a - b )² = 4ab</b>$

= 4pq




3) ( x + y )² - ( x - y )²

$<b>( a + b )² - ( a - b )² = 4ab</b>$

= 4xy




4) ax² + bx

Taking common

= x ( ax + b )




5) ( x + y )² - 4xy

$<b>( a + b )² - 4ab = ( a - b )²</b>$

= ( x - y )²




6) ( a + b )² - 4ab

$<b>( x + y )² - 4xy = ( x - y )²</b>$

= ( a - b )²




7) ( p² - 2pq + q² ) - r²

$<b>( a² - 2ab + b² ) = ( a - b )²</b>$

= ( p - q )² - r²

= ( p - q )² - ( r )²

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

= [ ( p - q ) + r ] [ ( p - q ) - r ]

= ( p - q + r ) ( p - q - r )




8) 49p² - 36q² + 12qr - r²

= ( 7p )² - ( 6q )² + 12qr - r²

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

= ( 7p + 6q ) ( 7p - 6q ) + 12qr - r²




9) ( M + N )² - ( M - N )²

$<b>( a + b )² - ( a - b )² = 4ab</b>$

= 4MN