Question

(m³-7m²-6m+3)+(-2m3+8m²+6m-12)+(13-9m+m³+5m²)​

Answer 1

Answer:

STEP

1

:

Equation at the end of step 1

((0 - (6 • (m3))) - 32m2) - 3m

STEP

2

:

Equation at the end of step

2

:

((0 - (2•3m3)) - 32m2) - 3m

STEP

3

:

STEP

4

:

Pulling out like terms

4.1 Pull out like factors :

-6m3 - 9m2 - 3m = -3m • (2m2 + 3m + 1)

Trying to factor by splitting the middle term

4.2 Factoring 2m2 + 3m + 1

The first term is, 2m2 its coefficient is 2 .

The middle term is, +3m its coefficient is 3 .

The last term, "the constant", is +1

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

Step-2 : Find two factors of 2 whose sum equals the coefficient of the middle term, which is 3 .

-2 + -1 = -3

-1 + -2 = -3

1 + 2 = 3 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 1 and 2

2m2 + 1m + 2m + 1

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

m • (2m+1)

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

1 • (2m+1)

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

(m+1) • (2m+1)

Which is the desired factorization

Final result :

-3m • (2m + 1) • (m + 1)