Question

Factorise (x+y)^3- (x^3+y^3) plzzz answer ​

Answer 1

`\huge \boxed{ \boxed{ \tt 2xy(x + y)}}`

Explanation:

to understand this

you need to know about:

• factoring
• PEMDAS

tips and formulas:

• (a+b)³=a³+3a²b+3ab²+b³
• a³+b³=(a+b)(a²-ab+b²)

let's solve:

1. 
   `\sf \: use \: 2nd \: formula \: to \: simplify : \\ \sf(x + y {)}^(3) - (x + y)( {x}^(2) - xy + {y}^(2) )`
2. 
   `\sf factor \: out \: (x + y) : \\ (x + y )\{(x + y)^(2) - ( {x}^(2) - xy + {y}^(2) \}`
3. 
   `\sf simplify : \\ (x + y {)} \{ {x}^(2) + 2xy + {y}^(2) - {x}^(2) + xy - {y}^(2) \}`
4. 
   `\sf collect \: and \: combine \: like \: terms : \\ (x + y) \{2xy \}`
5. 
   `\sf \: rewrite : \\ 2xy(x + y)`

and

we are done