Question

expand the following using a suitable identity
1.(x-7)(x-7)
2. (2m+1/4)(2m+1/4)

Answer 1

Property used in the solutions : —

i - ( a - b )( a - b ) = ( a - b )² = a² + b² - 2ab
ii - ( a + b )( a + b ) = ( a + b )² = a² + b² + 2ab


1. ( x - 7 )( x - 7 )

→ ( x - 7 )²

→ ( x )² + ( 7 )² - 2( x × 7 )

→ x² + 49 - 14x



( ii ) : ( 2x + 1 / 4 ) ( 2x + 1 / 4 )

→ ( 2x + 1 / 4 )²

→ ( 2x )² + ( 1 / 4 )² + 2( 2x × 1 / 4 )

→ 4x² + 1 / 16 + x

$\:$

Answer 2

HEY FRIEND..
HERE'S UR ANSWER...


[1]. (X-7) (X-7) = (X-7)^2

➡ x^2 +49 -14x


[2]. (2m + 1/4) (2m + 1/4) = (2m + 1/4)^2

➡4m^2 + 1/16 + 4m/4

➡ 4m^2 + 1/16 + m


HOPE IT HELPS U. ..✌✌