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

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

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factor 16c^2+56c+49

factor

16 c^{2} + 56 c + 49

(4 c + 7)^{2}

Solution steps

16 c^{2} + 56 c + 49

Rewrite in the form of

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

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

49 = 7^{2}

56 c = 2 \cdot 4 c \cdot 7

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

Apply Perfect Square Formula:

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

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

= (4 c + 7)^{2}

(x + 4)^{2} + 5 (x + 4)

4^{(\frac{3}{2})}

15 v x^{3} y^{5} + 20 v^{6} x^{9}

6 - 2 x > - 14

\frac{42 x ^{9} y ^{5}}{7 x ^{2} y ^{3}}