Question

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

Answer 1

Answer:

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

Step-by-step 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