Question

what is the formula of x square + Y square​

Answer 1

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

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

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

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

hope it helps

Answer 2

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

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

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

Step-by-step explanation:

To find : What is the formula of $x^2+y^2$ ?

Solution :

Using algebraic identity,

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

Re-write as,

$x^2+y^2=(x+y)^2-2xy$  .....(1)

Using another algebraic identity,

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

Re-write as,

$x^2+y^2=(x-y)^2+2xy$  .....(2)

Adding (1) and (2),

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

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

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

Equation (1),(2) and (3) are required formulas.

#Learn more

Algebraic identities

https://brainly.in/question/2638281, Answered by Parmesanchilliwack