Savagenahhhidn
Answered

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factor:


[tex]12m^{2} + 36mn - 48n^{2}[/tex]

Sagot :

MrGenius715idn

Answer:

All terms are divisible by 12 (divide by 12)

= m^2 +3mn -4n^2

Then factor:

= (m+4n)(m-n)

The final answer will be 12(m+4n)(m-n).

Step-by-step explanation:

hope it helps!

✒️Expression

[tex]••••••••••••••••••••••••••••••••••••••••••••••••[/tex]

[tex] \huge{\colorbox{black}{\color{gold}{\tt{ANSWER}}}}[/tex]

[tex]\large\color{green}\boxed{12(m + 4n)×(m - n)}[/tex]

[tex]•••••••••••••••••••••••••••••••••••••[/tex]

[tex] \large{\colorbox{black}{\color{lavender}{\tt{Step\:by\:Step\:Solution}}}}[/tex]

Step 1

↓Factor out 12 from the expression

[tex]12( {m}^{2} + 3mn - 4 {n}^{2})[/tex]

[tex] \huge \color{maroon}{ \underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} [/tex]

Step 2

↓Write 3mn as a difference

[tex]12( {m}^{2} + 4mn - mn - 4 {n}^{2} )[/tex]

[tex] \huge \color{maroon}{ \underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} [/tex]

Step 3

↓Factor out m from the expression

[tex]12(m \times (m + 4n) - mn - 4 {n}^{2} )[/tex]

[tex] \huge \color{maroon}{ \underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} [/tex]

Step 4

↓Factor out m + 4n from the expression

[tex]12(m + 4n) \times (m - n)[/tex]

[tex]••••••••••••••••••••••••••••••••••••••••••••••••[/tex]

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