Question

x square +²xy+y square​

Answer 1

Step-by-step explanation:

x²+2xy+y²

(x)²+2(x)(y)+(y)²

by formula (a+b)²=a²+2ab+b²

(x+y)²

Answer 2

Topic:-

Algebraic expressions

Question:-

Find the Value of x²+xy+y²

Solution:-

x²+xy+y²

$it \: is \: in \: the \: form \: of \: {(x + y)}^{2}$

So, answer is (x+y) ²

Formula Used :-

a²+ab+b²=(a+b) ²

More Information:-

(a+b) ²= a²+b²+2ab

(a-b) ² = a²+b²-2ab

a²-b²=(a+b) (a-b)

(a+b) ²-(a-b) ²=4ab

(a+b) ²+(a-b) ²=2(a²+b²)

a²+b²=(a+b) ²-2ab

(a+b) ³=a³+3a²b+3ab²+b³

(a-b) ³=a³-b³-3ab(a-b)

a³+b³=(a+b) (a²-ab+b²)

a³-b³=(a+b) (a²+ab+b²)

(a+b+c) ²=a²+b²+c²+2ab+2bc+2ca

a³+b³+c³-3abc = (a+b+c) (a²+b²+c²-ab-bc-ca)