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

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

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factor 16x^2+56x+49

factor

16 x^{2} + 56 x + 49

(4 x + 7)^{2}

Solution steps

16 x^{2} + 56 x + 49

Rewrite in the form of

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

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

49 = 7^{2}

56 x = 2 \cdot 4 x \cdot 7

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

Apply Perfect Square Formula:

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

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

= (4 x + 7)^{2}

x^{2} \cdot 2 x^{2}

x^{2} - 2 x - 24 \geq 0

3 x^{2} - 12 x + 3

\frac{7.70 1 ^{2}}{2} - \frac{398600}{8651.9}

2 = - c - 6