What is factor 49x^2-56xy+16y^2 ?

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

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factor 49x^2-56xy+16y^2

factor

49 x^{2} - 56 x y + 16 y^{2}

(7 x - 4 y)^{2}

Solution steps

49 x^{2} - 56 x y + 16 y^{2}

Rewrite in the form of

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

49 x^{2} = (7 x)^{2}

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

- 56 x y = - 2 \cdot 7 x \cdot 4 y

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

Apply Perfect Square Formula:

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

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

= (7 x - 4 y)^{2}

x (3 x - 2)

5 - 45

- 2 x^{2} - 3

(\frac{16}{25})^{\frac{- 3}{2}}

\frac{7}{- 2 + 13}

What is factor 49x^2-56xy+16y^2 ?
The solution to factor 49x^2-56xy+16y^2 is (7x-4y)^2