Question

6y ^ 3 - 8y ^ 2 + y - 9 and 3y ^ 2 - 8y ^ 3 - y + 7 Additional the following mia08/

Answer 1

Answer:

-2y^3 -5y^2 -2

Explanation:

In algebraic expressions, we can only sum or add those variables that have same number of power .For example in the above given question,

6y^3 - 8y^2 + y - 9

-8y^3 + 3y^2 -y +7

Answer will be: -2y^3 -5y^2 -2

Note that the sign of greater number is always implemented.Moreover I've rearranged the second given expression in order to make it easy to sum

Answer 2

Explanation:

STEP

1

:

Equation at the end of step 1

((6 • (y3)) - 23y2) - 8y

STEP

2

:

Equation at the end of step

2

:

((2•3y3) - 23y2) - 8y

STEP

3

:

STEP

4

:

Pulling out like terms

4.1 Pull out like factors :

6y3 - 8y2 - 8y = 2y • (3y2 - 4y - 4)

Trying to factor by splitting the middle term

4.2 Factoring 3y2 - 4y - 4

The first term is, 3y2 its coefficient is 3 .

The middle term is, -4y its coefficient is -4 .

The last term, "the constant", is -4

Step-1 : Multiply the coefficient of the first term by the constant 3 • -4 = -12

Step-2 : Find two factors of -12 whose sum equals the coefficient of the middle term, which is -4 .

-12 + 1 = -11

-6 + 2 = -4 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 2

3y2 - 6y + 2y - 4

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

3y • (y-2)

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

2 • (y-2)

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

(3y+2) • (y-2)

Which is the desired factorization

Final result :

2y • (y - 2) • (3y + 2)