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nalty: none
mpletely.

x^(3)+x^(2)-25 x-25
Attempt 1 out of 2

nalty: none $\newline$ mpletely. $\newline$ $x^{3}+x^{2}-25 x-25$ $\newline$ Attempt $1$ out of $2$

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Evaluate integers raised to rational exponents

Full solution

Q. nalty: none

\newline

mpletely.

\newline

x^{3}+x^{2}-25 x-25

\newline

Attempt

1

out of

2

Combine like terms: Combine like terms if there are any. $\newline$ There are no like terms to combine in $x^{3}+x^{2}-25x-25$ .
Factor by grouping: Factor by grouping. $\newline$ Group the terms: $(x^{3}+x^{2}) + (-25x-25)$ .
Factor out common factor: Factor out the common factor from each group. $x^2(x+1) - 25(x+1)$ .
Factor out common binomial factor: Factor out the common binomial factor $(x+1)$ . $\newline$ $(x^2 - 25)(x+1)$ .
Recognize difference of squares: Recognize that $x^2 - 25$ is a difference of squares. $\newline$ Factor $x^2 - 25$ into $(x + 5)(x - 5)$ .
Write fully factored form: Write the fully factored form of the polynomial. $(x + 5)(x - 5)(x + 1)$ .

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