Question

common factors of 16mcube , 4m square
and 32m​

Answer 1

STEP

1

:

Equation at the end of step 1

((64 • (m4)) - 25m2) - 12

STEP

2

:

Equation at the end of step

2

:

(26m4 - 25m2) - 12

STEP

3

:

STEP

4

:

Pulling out like terms

4.1 Pull out like factors :

64m4 - 32m2 - 12 = 4 • (16m4 - 8m2 - 3)

Trying to factor by splitting the middle term

4.2 Factoring 16m4 - 8m2 - 3

The first term is, 16m4 its coefficient is 16 .

The middle term is, -8m2 its coefficient is -8 .

The last term, "the constant", is -3

Step-1 : Multiply the coefficient of the first term by the constant 16 • -3 = -48

Step-2 : Find two factors of -48 whose sum equals the coefficient of the middle term, which is -8 .

-48 + 1 = -47

-24 + 2 = -22

-16 + 3 = -13

-12 + 4 = -8 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -12 and 4

16m4 - 12m2 + 4m2 - 3

Step-4 : Add up the first 2 terms, pulling out like factors :

4m2 • (4m2-3)

Add up the last 2 terms, pulling out common factors :

1 • (4m2-3)

Step-5 : Add up the four terms of step 4 :

(4m2+1) • (4m2-3)

Which is the desired factorization

Trying to factor as a Difference of Squares:

Answer 2

Answer:

here's your answer dear

16mcube= Thus, the common factors of 16 and 12 are: 1, 2, and 4. Often in math problems, it can be desirable to find the greatest common factor of some given numbers. In this case, the greatest common factor is 4.

4msquare=The factor of 4m2=2×2×m×m,

32m=All factors of 32 are 1, 2, 4, 8, 16, and 32. 

hope it helps you from my side