Question

Factorize 4x^3+24x^2

Answer 1

4x^2(x+6)
You factor out 4x^2 and put it outside the bracket :)

Answer 2

`\text{Hey there!}`

`\mathsf{4x^3+24x^2 = [blank]}`

`\textsf{Factors of each of your numbers}\downarrow`

`\bullet\ \mathsf{4x^3: 1,2,4,x, x, x}\\ \bullet \ \mathsf{24x^2: 1,2,3,4,6,8,12, 24, x, x}`

`\mathsf{GCF\ of\ 4x^3\ \& \ 24x^2\ is\ 2x^2 }`

`\mathsf{\rightarrow\ New\ equation: 2^2 * 2(x +6)}`

`\mathsf{2^2 = 2*2 = 4}`

`\mathsf{4* x^2(x + 6)}\\\mathsf{4(x^2) = 4x^2}`

`\rightarrow{\mathsf{New\ equation/your\ answer: \ \bf{4x^2 (x+6)}}`

`\mathsf{Which\ gives\ us\ our\ answer: {\underline{4x^2(x + 6}}}`

`\boxed{\boxed{\textsf{Thus, your answer is: \boxed{{\mathsf{\underline{\bf{4x^2(x + 6})}}}}}}}\checkmark`

`\textsf{Good luck on your assignment and enjoy your day!}`

~
`\frak{LoveYourselfFirst:)}`