Answer:
[tex](x+2)(x^{2} -2x+2^{2})[/tex] is the equivalent expression to [tex]x^{3} +8[/tex].
As [tex](x+2)(x^{2} -2x+2^{2})=x^{3} +8[/tex]
Step-by-step explanation:
As the given expression is
[tex]x^{3} +8[/tex]
As we know that
[tex]a^{3} +b^{3}=(a+b)(a^{2} -ab+b^{2})[/tex]
So,
[tex]x^{3} +8[/tex]
⇒ [tex]x^{3} +(2)^{3}[/tex]
⇒ [tex](x+2)(x^{2} -2x+2^{2})[/tex]
So,
[tex](x+2)(x^{2} -2x+2^{2})[/tex] is the equivalent expression to [tex]x^{3} +8[/tex].
As
[tex](x+2)(x^{2} -2x+2^{2})=x^{3} +8[/tex]
Keywords: equivalent expression, algebraic expression
Learn more about equivalent expression from brainly.com/question/315791
#learnwithBrainly
