What is factor 36f^2+84f+49 ?

The solution to factor 36f^2+84f+49 is (6f+7)^2

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factor 36f^2+84f+49

factor

36 f^{2} + 84 f + 49

(6 f + 7)^{2}

Solution steps

36 f^{2} + 84 f + 49

Rewrite in the form of

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

36 f^{2} = (6 f)^{2}

49 = 7^{2}

84 f = 2 \cdot 6 f \cdot 7

= (6 f)^{2} + 2 \cdot 6 f \cdot 7 + 7^{2}

Apply Perfect Square Formula:

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

(6 f)^{2} + 2 \cdot 6 f \cdot 7 + 7^{2} = (6 f + 7)^{2}

= (6 f + 7)^{2}

6 n + n = 0

2 x - \frac{5 x - 6}{4} + \frac{1}{3} (x - 5) = - 5 x

(3 b - 2) (4 b^{2} + 8 b + 7)

- 6 x^{2} - x + 7

(\frac{y ^{- 3}}{y ^{3}})^{2}