Question

Find the product of (a+b+c) (a+b-c).

Answer 1

$(a+b+c)(a+b-c) = \\ = {a}^{2} + ab - ac + ab + {b}^{2} - bc + ac + bc - {c}^{2} \\ = {a}^{2} + {b }^{2} - {c}^{2} + 2ab$

#helpingismypleasure

Answer 2

..Question..

Find the product of :

ㅤㅤ➪ ( a + b + c ) ( a + b - c )

..Answer..

ㅤ➪ ( a + b + c ) × ( a + b - c )

ㅤ➪ a (a+b-c) + b (a+b-c) + c (a+b-c)

➪ a² + ab - ac + ab + b² - bc + ac + bc - c²

ㅤ➪ a² + b² - c² + ab + ab

ㅤ➪ a² + b² - c² + 2ab ans..

_____________________

Give a look here :-

ㅤㅤ☯︎ ( a + b )²

➪ ( a + b ) ( a + b )

➪ a ( a + b ) + b ( a + b

➪ a² + ab + ab + b²

➪ a² + 2ab + b²

ㅤㅤ☯︎ ( a - b )²

➪ ( a - b ) ( a - b )

➪ a ( a - b ) - b ( a - b )

➪ a² - ab - ab + b²

➪ a² - 2ab + b²

ㅤㅤ☯︎ ( a + b ) ( a - b ) = a² - b²

★ L.H.S

➪ ( a + b ) ( a - b )

➪ a ( a - b ) + b ( a - b )

➪ a² - ab + ab - b²

➪ a² - b² = R.H.S

ㅤㅤ☯︎ ( a + b )³

➪ ( a + b ) ( a + b ) ( a + b )

➪ ( a + b ) ( a + b )²

➪ ( a + b ) ( a² + 2ab + b² )

➪ a( a² + 2ab + b² ) + b( a² + 2ab + b² )

➪ a³ + 2a²b + ab² + a²b + 2ab² + b³

➪ a³ + 2a²b + a²b + ab² + 2ab² + b³

➪ a³ + 3a²b + 3ab² + b³

ㅤㅤㅤㅤ꧁ ʙʀᴀɪɴʟʏ×ᴋɪᴋɪ ꧂

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