What is factor 49(n-2)^2+42(n-2)+9 ?

The solution to factor 49(n-2)^2+42(n-2)+9 is (7n-11)^2

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factor 49(n-2)^2+42(n-2)+9

factor

49 (n - 2)^{2} + 42 (n - 2) + 9

(7 n - 11)^{2}

Solution steps

49 (n - 2)^{2} + 42 (n - 2) + 9

Rewrite

49 (n - 2)^{2} + 42 (n - 2) + 9

(7 (n - 2))^{2} + 2 \cdot 7 (n - 2) \cdot 3 + 3^{2}

= (7 (n - 2))^{2} + 2 \cdot 7 (n - 2) \cdot 3 + 3^{2}

Apply Perfect Square Formula:

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

a = 7 (n - 2), b = 3

= (7 (n - 2) + 3)^{2}

Expand

7 (n - 2) + 3 : 7 n - 11

= (7 n - 11)^{2}

\frac{d}{d x} ((x) (x^{2}))

\frac{- 9 + 15 3}{20}

5 x^{8} - 30 x^{2}

20 mn - 5 r n - 28 m + 7 r

cos (2 x) - (sin (x))^{2}

What is factor 49(n-2)^2+42(n-2)+9 ?
The solution to factor 49(n-2)^2+42(n-2)+9 is (7n-11)^2