1. ## Grouping Method

Factor By grouping.

100 (h + 1)^3 - (h + 1)^5

(h + 1)^3 [100 - (h + 1)^2]

(h + 1)^3 [(10 - (h + 1)(10 + (h + 1)]

Is this correct?

yes it is

3. ## Re: Grouping Method

Factor By grouping.

100 (h + 1)^3 - (h + 1)^5

(h + 1)^3 [100 - (h + 1)^2]

(h + 1)^3 [(10 - (h + 1)(10 + (h + 1)]

Is this correct?
Originally Posted by sakonpure6
yes it is
No, it is not.

1) There are missing grouping symbols. 2) It hasn't been factored completely and simplified, such as like terms combined.

100(h + 1)^3 - (h + 1)^5 =

(h + 1)^3*[100 - (h + 1)^2] =

(h + 1)^3* [10 - (h + 1)][10 + (h + 1)] =

(h + 1)^3*[10 - h - 1][10 + h + 1] =

(h + 1)^3*(9 - h)(11 + h) =

(9 - h)(11 + h)(h + 1)^3

4. ## Re: Grouping Method

Originally Posted by sakonpure6
yes it is
Are you sure?

5. ## Re: Grouping Method

Originally Posted by greg1313
No, it is not.

1) There are missing grouping symbols. 2) It hasn't been factored completely and simplified, such as like terms combined.

100(h + 1)^3 - (h + 1)^5 =

(h + 1)^3*[100 - (h + 1)^2] =

(h + 1)^3* [10 - (h + 1)][10 + (h + 1)] =

(h + 1)^3*[10 - h - 1][10 + h + 1] =

(h + 1)^3*(9 - h)(11 + h) =

(9 - h)(11 + h)(h + 1)^3