factor 289n^2+646n+361

פתרון

factor

289 n^{2} + 646 n + 361

(17 n + 19)^{2}

צעדי פתרון

289 n^{2} + 646 n + 361

Rewrite in the form of

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

289 n^{2} = (17 n)^{2}

361 = 1 9^{2}

646 n = 2 \cdot 17 n \cdot 19

= (17 n)^{2} + 2 \cdot 17 n \cdot 19 + 1 9^{2}

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

:הפעל נוסחת הכפל המקוצר

(17 n)^{2} + 2 \cdot 17 n \cdot 19 + 1 9^{2} = (17 n + 19)^{2}

= (17 n + 19)^{2}

s im pl i f y \frac{11 !}{5 ! \cdot 6 !}

2 w^{2} - 3 w - 90 = 0

s im pl i f y - \frac{5}{2} (2)

x^{2} - 4 x - 21 = 0

1 4^{2} + 1 6^{2}