Question

Name the identeties used in algebraic exptession in one variable(all of them)
No net answers

Answer 1

 (a + b)2 = a2 + b2 + 2a
  (a – b)2 = a2 + b2 – 2ab
 (a + b)(a – b) =a2 – b2
  (x + a)(x + b) = x2 + (a+b)x + ab

Answer 2

Answer:

Following are the identities used in algebraic expressions in one variable:

1). ( x + y )² = x² + 2xy + y²

2). ( x - y )² = x² - 2xy + y²

3). ( x + y ) ( x - y ) = x² - y²

4). ( x + a ) ( x + b ) = x² + ( a + b ) x + ab

5). ( x - a ) ( x - b ) = x² - ( a + b ) x + ab

6). ( x + a ) ( x - b ) = x² + ( a - b ) x - ab

7). ( x - a ) ( x + b ) = x² + ( -a + b ) x - ab

8). ( x + y + z )² = x² + y² + z² + 2xy + 2yz + 2zx

9). ( x + y )³ = x³ + y³ + 3xy ( x + y ) = x³ + y³ + 3x²y + 3xy²

10). ( x - y )³ = x³ - y³ - 3xy ( x - y ) = x³ - y³ - 3x²y + 3xy²

11).  x³ + y³ + z³ - 3xyz = ( x + y + z ) ( x² + y² + z² - xy - yz - zx )

12). x³ + y³ = ( x + y ) ( x² - xy + y² )

13). x³ - y³ = ( x - y ) ( x² + xy + y² )