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

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

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factor 16y^2+56y+49

factor

16 y^{2} + 56 y + 49

(4 y + 7)^{2}

Solution steps

16 y^{2} + 56 y + 49

Rewrite in the form of

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

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

49 = 7^{2}

56 y = 2 \cdot 4 y \cdot 7

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

Apply Perfect Square Formula:

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

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

= (4 y + 7)^{2}

\frac{\frac{2 x}{y} + 1}{\frac{2 y}{x} - 1}

(\frac{1}{5})^{- 1}

5 x^{2} - x + 2 = 0

(- 8)^{- 1}

12 p^{2} + 20 p - 8