Question

Please solve the 6th question ​

Answer 1

Answer:

m³-12m²+48m-64

(m) ³+(-4)³+3(-4) (m) ²+3(-4) ²(m)

(m-4) ³

Answer 2

Answer:

(m²-12m-16)

Step-by-step explanation:

STEP1:Equation at the end of step 1

(((m3) - (22•3m2)) + 48m) - 64m

STEP2:

STEP3:Pulling out like terms

 3.1     Pull out like factors :

   m3 - 12m2 - 16m  =   m • (m2 - 12m - 16) 

Trying to factor by splitting the middle term

 3.2     Factoring  m2 - 12m - 16 

The first term is,  m2  its coefficient is  1 .

The middle term is,  -12m  its coefficient is  -12 .

The last term, "the constant", is  -16 

Step-1 : Multiply the coefficient of the first term by the constant   1 • -16 = -16 

Step-2 : Find two factors of  -16  whose sum equals the coefficient of the middle term, which is   -12 .

     -16   +   1   =   -15     -8   +   2   =   -6     -4   +   4   =   0     -2   +   8   =   6     -1   +   16   =   15

Observation : No two such factors can be found !! 

Conclusion : Trinomial can not be factored

Final result :

m • (m2 - 12m - 16)