factorizar 9n^2+30n+25

Solución

factorizar

9 n^{2} + 30 n + 25

(3 n + 5)^{2}

Pasos de solución

9 n^{2} + 30 n + 25

Rewrite in the form of

a^{2} + 2 ab + b^{2} :

9 n^{2} = (3 n)^{2}

25 = 5^{2}

30 n = 2 \cdot 3 n \cdot 5

= (3 n)^{2} + 2 \cdot 3 n \cdot 5 + 5^{2}

Aplicar la formula del binomio al cuadrado:

a^{2} + 2 ab + b^{2} = (a + b)^{2}

(3 n)^{2} + 2 \cdot 3 n \cdot 5 + 5^{2} = (3 n + 5)^{2}

= (3 n + 5)^{2}

\frac{2 3}{3 2}

\frac{h}{- 6} > 3

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(\frac{y}{4})^{- 3}

2 x + 4 + x y + 2 y