Question

what should be added to x2 + y2 to get x2+y2+2xy
pls show ur work if u do ill mark u brainliest

Answer 1

Required Answer:

$\bf {\star \: Given:- }$

Two expressions-

• x² + y²
• x² + y² + 2xy

$\bf {\star \: What \: Do \: Find:- }$

We have to find an expression that is added x² + y² to get x² + y² + 2xy.

$\bf {\star \: How \: Do \: Find:- }$

To find an expression, we will

• Subtract x² + y² from x² + y² + 2xy.

$\bf {\star \: Solution:- }$

(x² + y² + 2xy) - (x² + y²)

Remove the brackets,

⇒ x² + y² + 2xy - x² - y²

Rearrange the like term,

⇒ x² - x² + y² - y² + 2xy

Solve the first like term,

⇒ 0 + y² - y² + 2xy

Solve the second like term,

⇒ 0 + 0 + 2xy

It can also written as,

⇒ 2xy

$\underbrace{\bf{\therefore Thus \: the \: expression \: is \: 2xy.}}$

Answer 2

(x²+y²+2xy)-(x²+y²)

= x²+y²+2xy-x²-y²

= 2xy

2xy should be added