Question

5x3 - 5 factored

Answer 1

\(\LARGE\color{blue}{ \sf 5x^3 - 5 }\)

\(\LARGE\color{blue}{ \sf \color{red} { 5 }x^3 - \color{red} { 5 } }\)

\(\LARGE\color{blue}{ \sf 5(x^3 - 1)}\)

\(\LARGE\color{blue}{ we~~~know~~~that~~~~\sf1=1^3}\)

\(\LARGE\color{blue}{ \sf 5(x^3 - \color{red} { 1 })}\)

\(\LARGE\color{blue}{ \sf 5(x^3 - \color{red} { 1^3 })}\)


\(\LARGE\color{green}{Rule:~~ \sf a^3-b^3=(a-b)(a^2+ab+b^2) }\)

\(\large \color{blue}{~~ \sf x^3-1^3=(x-1)(x^2+x \times 1+1^2) =(x-1)(x^2+x+1)}\)

\(\Large \color{blue}{ So~~you~~finally~~get:~~\sf 5(x-1)(x^2+x+1) }\)

Answer 2

Thank you!! Youre so smart..im impressed!

Answer 3

You welcome :)