What is factor 16q^2+56q+49 ?

The solution to factor 16q^2+56q+49 is (4q+7)^2

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factor 16q^2+56q+49

factor

16 q^{2} + 56 q + 49

(4 q + 7)^{2}

Solution steps

16 q^{2} + 56 q + 49

Rewrite in the form of

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

16 q^{2} = (4 q)^{2}

49 = 7^{2}

56 q = 2 \cdot 4 q \cdot 7

= (4 q)^{2} + 2 \cdot 4 q \cdot 7 + 7^{2}

Apply Perfect Square Formula:

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

(4 q)^{2} + 2 \cdot 4 q \cdot 7 + 7^{2} = (4 q + 7)^{2}

= (4 q + 7)^{2}

9^{\frac{3}{4}} \cdot 3^{- \frac{1}{2}}

x + \frac{1}{x - 2} + \frac{2}{( x + 6 ) ( x - 2 )} - 2 \geq x - \frac{3}{x + 6} - 2

(x - 3)^{2} (x + 6) > 0

(9^{\frac{5}{3}})^{\frac{3}{10}}

11 h - (2 h - 1) = 118