Factor the trinomial. 8x^(2)-5x+5y+24y^(2)1

Identify and Group Terms: Identify and group similar terms for easier manipulation. Group x terms and y terms separately. 8x^2 - 5x + 5y + 24y^2 can be rewritten as (8x^2 - 5x) + (5y + 24y^2).Factor Common Terms: Factor out the common terms in each group. For the x terms: 8x^2 - 5x = x(8x - 5). For the y terms: 5y + 24y^2 = y(5 + 24y).Combine Factored Groups: Combine the factored groups. The expression becomes x(8x - 5) + y(5 + 24y).Check for Further Factoring: Check if further factoring is possible. The terms inside the parentheses, (8x - 5) and (5 + 24y), do not have common factors and are not perfect squares or recognizable products for further factoring.

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Factor the trinomial.

8x^(2)-5x+5y+24y^(2)1

Factor the trinomial. $\newline$ $8x^{2}-5x+5y+24y^{2}$

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Algebra 1

Simplify exponential expressions using the multiplication and division rules

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Q. Factor the trinomial.

\newline

8x^{2}-5x+5y+24y^{2}

Identify and Group Terms: Identify and group similar terms for easier manipulation. Group $x$ terms and $y$ terms separately. $8x^2 - 5x + 5y + 24y^2$ can be rewritten as $(8x^2 - 5x) + (5y + 24y^2)$ .
Factor Common Terms: Factor out the common terms in each group. $\newline$ For the $x$ terms: $8x^2 - 5x = x(8x - 5)$ . $\newline$ For the $y$ terms: $5y + 24y^2 = y(5 + 24y)$ .
Combine Factored Groups: Combine the factored groups. $\newline$ The expression becomes $x(8x - 5) + y(5 + 24y)$ .
Check for Further Factoring: Check if further factoring is possible. $\newline$ The terms inside the parentheses, $8x - 5$ and $5 + 24y$ , do not have common factors and are not perfect squares or recognizable products for further factoring.