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

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

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factor 36p^2+84p+49

factor

36 p^{2} + 84 p + 49

(6 p + 7)^{2}

Solution steps

36 p^{2} + 84 p + 49

Rewrite in the form of

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

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

49 = 7^{2}

84 p = 2 \cdot 6 p \cdot 7

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

Apply Perfect Square Formula:

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

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

= (6 p + 7)^{2}

(x - 1) (\frac{x - 5}{4}) (\frac{x + 1}{4})

6.626 x 1 0^{- 3} 4 \cdot 3 x 1 0^{8}

\frac{1}{3} \cdot (x + 15) + \frac{2}{3} \cdot (x + 9)

1.5 a - a + 7 - 9.5 a

(x^{2} + 18)^{2}