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

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

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

factor

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

(4 x - 7 y)^{2}

Solution steps

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

Rewrite in the form of

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

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

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

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

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

Apply Perfect Square Formula:

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

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

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

\frac{49}{36}

\frac{1}{2 ^{1 - 1}}

(1 + i 3)^{- 10}

\frac{x}{8} > 4

28 x^{2} \leq 0

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