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

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

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factor 36a^2+84a+49

factor

36 a^{2} + 84 a + 49

(6 a + 7)^{2}

Solution steps

36 a^{2} + 84 a + 49

Rewrite in the form of

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

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

49 = 7^{2}

84 a = 2 \cdot 6 a \cdot 7

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

Apply Perfect Square Formula:

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

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

= (6 a + 7)^{2}

5 x^{2} - 180 = 0

7 (5 x - 2) = 6 (6 x - 1)

4 (5)^{\frac{1}{2}} - 6 (5)^{\frac{3}{4}}

27 \cdot 5

2 - 128 x^{3}