At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Get quick and reliable solutions to your questions from a community of experienced experts on our platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.
Sagot :
Answer:
[tex] \huge \boxed{ \boxed{ \tt 2xy(x + y)}}[/tex]
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:
- [tex] \sf \: use \: 2nd \: formula \: to \: simplify : \\ \sf(x + y {)}^{3} - (x + y)( {x}^{2} - xy + {y}^{2} )[/tex]
- [tex] \sf factor \: out \: (x + y) : \\ (x + y )\{(x + y)^{2} - ( {x}^{2} - xy + {y}^{2} \}[/tex]
- [tex] \sf simplify : \\ (x + y {)} \{ {x}^{2} + 2xy + {y}^{2} - {x}^{2} + xy - {y}^{2} \}[/tex]
- [tex] \sf collect \: and \: combine \: like \: terms : \\ (x + y) \{2xy \}[/tex]
- [tex] \sf \: rewrite : \\ 2xy(x + y)[/tex]
and
we are done
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.