Respuesta :
Answer:
The formula of (a+b)² and (a-b)² are as follows:
Step-by-step explanation:
(a+b)²=a²+2ab+b²
(a-b)²=a²-2ab+b²
Step-by-step explanation:
These are identities .
[tex]:\implies [/tex] ( a + b)²
[tex]:\implies [/tex] ( a + b) ( a + b)
[tex]:\implies [/tex] a ( a + b ) + b ( a + b)
[tex]:\implies [/tex] a² + ab + ab + b²
[tex]:\implies [/tex] a² + 2ab + b²
- Now ( a - b)²
[tex]:\implies [/tex] ( a - b)²
[tex]:\implies [/tex] ( a - b) ( a - b)
[tex]:\implies [/tex] a ( a - b ) - b ( a - b)
[tex]:\implies [/tex] a² - ab - ab + b²
[tex]:\implies [/tex] a² - 2ab + b²