Question

Plz Help!!
State all algebraic identities.
​

Answer 1

$\huge{\boxed{\mathfrak{\purple{AnsweR}}}}$

In total there are 10 algebraic identities those are -

______________________________________

${(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2}$

${(x - y)}^{2} = {x}^{2} - 2xy + {y}^{2}$

$(x + y)(x - y) = {x}^{2} - {y}^{2}$

$(x + a)(x + b) = {x}^{2} + (a + b)x + (a \times b)$

${(x + y + z)}^{2} = {x}^{2} + {y}^{2} + {z}^{2} + 2xy + 2yz + 2zx$

${(x + y)}^{3} = {x}^{3} + {y}^{3} + 3xy(x + y)$

${(x - y)}^{3} = {x}^{3} - 3 {x}^{2}y + 3x {y}^{2} - {y}^{2}$

${x}^{3} + y {}^{3} + {z}^{3} - 3xyz = (x + y + z)( {x}^{2} + {y}^{2} + {z}^{2} - xy - yz - zx)$

${x}^{3} + {y}^{3} = (x + y)( {x}^{2} - xy + {y}^{2})$

${x}^{3} - {y}^{3} = (x - y)( {x}^{2} + xy + {y}^{2})$

_______________________________________

Answer 2

Answer:

1. (a+b)2=a2+b2+2ab
2. (a-b)2= a2-2ab+b2
3. (a2-b2)=(a+b)(a-b)
4. (x+a) (x+b)=x2+(a+b)x+ab
5. (x+y+z)=x2+y2+z2+2xy+2xz+2yz
6. (a+b)3=a3+b3+3ab+(a+b)
7. (a-b)3=a3-b3-3ab(a-b)

Step-by-step explanation:

hope this is helpull