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

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

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factor 16a^2+56a+49

factor

16 a^{2} + 56 a + 49

(4 a + 7)^{2}

Solution steps

16 a^{2} + 56 a + 49

Rewrite in the form of

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

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

49 = 7^{2}

56 a = 2 \cdot 4 a \cdot 7

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

Apply Perfect Square Formula:

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

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

= (4 a + 7)^{2}

(m - n)^{4} - 5 (m - n)^{2}

2 x + 2 y - x^{2} - x y

2 x^{2} - 11 x y + 15 y^{2}

(1.5 x^{2} y) \cdot (- 0.3 x y^{2})

9 x^{2} y^{2} (- 16 x^{2} y^{3})