Question

prepare charts of the identities a) (a+b) 2=a2+2ab+b2 b) (a-b) 2=a2-2ab+b2 c) (a+b) (a-b) =a2-b2​

Answer 1

Answer:

a) ( a + b )² = ( a + b ) ( a + b )

= a ( a + b ) + b ( a + b )

= a × a + a × b + b × a + b × b

= a² + ab + ab + b²

= a² + 2ab + b²

b) ( a - b )² = ( a - b ) ( a - b )

= a ( a - b ) - b ( a - b )

= a × a - a × b - b × a - b × b

= a² - ab - ab - b²

= a² - 2ab - b²

c) ( a + b ) ( a- b ) = a ( a - b ) + b ( a - b )

= a × a - a × b + b × a - b × b

= a² - ab + ab - b²

= a² - b²