Question

(m+1)(m-2)- 4m(3-m) ​

Answer 1

Answer:5m^2-13m-2

Step-by-step explanation: final answer

STEP  1 :

Equation at the end of step 1

 ((m + 1) • (m - 2)) -  4m • (3 - m)

STEP  2 :

Equation at the end of step 2

 (m + 1) • (m - 2) -  4m • (3 - m)

STEP  3  

Trying to factor by splitting the middle term

3.1     Factoring  5m2-13m-2  

The first term is,  5m2  its coefficient is  5 .

The middle term is,  -13m  its coefficient is  -13 .

The last term, "the constant", is  -2  

Step-1 : Multiply the coefficient of the first term by the constant   5 • -2 = -10  

Step-2 : Find two factors of  -10  whose sum equals the coefficient of the middle term, which is   -13 .

     -10    +    1    =    -9  

     -5    +    2    =    -3  

     -2    +    5    =    3  

     -1    +    10    =    9  

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

 5m2 - 13m - 2

Answer 2

$\large\underline{\underline{\maltese{\blue{\pmb{\sf{\: Explanation :-}}}}}}$

$\begin{gathered}\\ \tt{:}\dashrightarrow (m+1)(m-2)-4m(3-m)\end{gathered}$

• Multiply the parentheses

$\begin{gathered}\\ \tt{:}\dashrightarrow m^{2}-2m+m-2-4m×(3-m)\end{gathered}$

• Distribute -4m through the parentheses

$\begin{gathered}\\ \tt{:}\dashrightarrow m^{2}-2m+m-2-12m+4m^{2}\end{gathered}$

• Collect like terms

$\begin{gathered}\\ \tt{:}\dashrightarrow Ans.-5m^{2}-13m-2\end{gathered}$