Factor. 5h^2 + 20h - 25 ____

Find GCF and Factor: First, look for a greatest common factor (GCF) in all three terms. GCF of 5h^2, 20h, and -25 is 5. Factor out the GCF: 5(h^2 + 4h - 5).Factor Trinomial: Now, factor the trinomial h^2 + 4h - 5. We need two numbers that multiply to -5 and add to 4. The numbers are 5 and -1. Rewrite the middle term using these numbers: h^2 + 5h - h - 5.Group and Factor: Group the terms: (h^2 + 5h) - (h + 5).Factor by Grouping: Factor by grouping. Take out the common factor h from the first group: h(h + 5). There's a -1 common in the second group: -1(h + 5). Now we have: h(h + 5) - 1(h + 5).Factor Common Binomial: Factor out the common binomial (h + 5): (h - 1)(h + 5).Final Step: Don't forget the GCF we factored out at the beginning. Multiply it by the factored form of the trinomial: 5(h - 1)(h + 5).

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Q. Factor.

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5h^2 + 20h - 25

Find GCF and Factor: First, look for a greatest common factor (GCF) in all three terms. $\newline$ GCF of $5h^2$ , $20h$ , and $-25$ is $5$ . $\newline$ Factor out the GCF: $5(h^2 + 4h - 5)$ .
Factor Trinomial: Now, factor the trinomial $h^2 + 4h - 5$ . We need two numbers that multiply to $-5$ and add to $4$ . The numbers are $5$ and $-1$ . Rewrite the middle term using these numbers: $h^2 + 5h - h - 5$ .
Group and Factor: Group the terms: $(h^2 + 5h) - (h + 5)$ .
Factor by Grouping: Factor by grouping. $\newline$ Take out the common factor $h$ from the first group: $h(h + 5)$ . $\newline$ There's a $-1$ common in the second group: $-1(h + 5)$ . $\newline$ Now we have: $h(h + 5) - 1(h + 5)$ .
Factor Common Binomial: Factor out the common binomial $(h + 5)$ : $(h - 1)(h + 5)$ .
Final Step: Don't forget the GCF we factored out at the beginning. $\newline$ Multiply it by the factored form of the trinomial: $5(h - 1)(h + 5)$ .