Among all the other formulas, algebraic formulas are very important for a student as these formulas have been considered as useful during the higher study such as engineering, pursuing Master degree etc. That is why every student should put their best effort to memorize these formulas. Here are some of the important algebraic formulas for Class 10th students given below. Take a glance through the list below.
- (a+b)² = a² + b² + 2ab
- (a-b)² = a² + b² – 2ab
- (a+b) (a-b) = a² – b²
- (x + a)(x + b) = x² + (a + b)x + ab
- (x + a)(x – b) = x² + (a – b)x – ab
- (a + b)³ = a³ + b³ + 3ab(a + b)
- (a – b)³ = a³ – b³ – 3ab(a – b)
- (x – a)(x + b) = x² + (b – a)x – ab
- (x – a)(x – b) = x² – (a + b)x + ab
- (x + y + z)² = x² + y² + z² + 2xy + 2yz + 2xz
- (x + y – z)² = x² + y² + z² + 2xy – 2yz – 2xz
- (x – y + z)² = x² + y² + z² – 2xy – 2yz + 2xz
- (x – y – z)² = x² + y² + z² – 2xy + 2yz – 2xz
- x³ + y³ + z³ – 3xyz = (x + y + z)(x² + y² + z² – xy – yz -xz)
- x² + y² =½ [(x + y)² + (x – y)²]
- (x + a) (x + b) (x + c) = x³ + (a + b +c)x² + (ab + bc + ca)x + abc
- x³ + y³= (x + y) (x² – xy + y²)
- x³ – y³ = (x – y) (x² + xy + y²)
- x² + y² + z² -xy – yz – zx = ½ [(x-y)² + (y-z)² + (z-x)²