QuestionDecember 15, 2025

Factor the trinomial of the form x^2+bxy+cy^2 x^2+10xy+16y^2=square

Factor the trinomial of the form x^2+bxy+cy^2 x^2+10xy+16y^2=square
Factor the trinomial of the form x^2+bxy+cy^2
x^2+10xy+16y^2=square

Solution
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Answer

(x + 2y)(x + 8y) Explanation 1. Identify b and c Here, b = 10, c = 16. 2. Find two numbers that multiply to c and add to b Numbers are 2 and 8 since 2 \times 8 = 16 and 2 + 8 = 10. 3. Write the factors The trinomial factors as (x + 2y)(x + 8y).

Explanation

1. Identify $b$ and $c$<br /> Here, $b = 10$, $c = 16$.<br />2. Find two numbers that multiply to $c$ and add to $b$<br /> Numbers are $2$ and $8$ since $2 \times 8 = 16$ and $2 + 8 = 10$.<br />3. Write the factors<br /> The trinomial factors as $(x + 2y)(x + 8y)$.
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