What is factor 10xy+0.25x^2+100y^2 ?

The solution to factor 10xy+0.25x^2+100y^2 is (0.5x+10y)^2

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factor 10xy+0.25x^2+100y^2

factor

10 x y + 0.25 x^{2} + 100 y^{2}

(0.5 x + 10 y)^{2}

Solution steps

10 x y + 0.25 x^{2} + 100 y^{2}

Rewrite

0.25 x^{2} + 10 x y + 100 y^{2}

(0.25 x)^{2} + 2 \cdot 0.5 x \cdot 10 y + (10 y)^{2}

= (0.25 x)^{2} + 2 \cdot 0.5 x \cdot 10 y + (10 y)^{2}

Apply Perfect Square Formula:

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

a = 0.5 x, b = 10 y

= (0.5 x + 10 y)^{2}

\frac{5 x - 20}{x ^{2} - 16}

x^{2} + x y + x z + yz

\infty \cdot (- \infty)

e^{2} + e - 6

[(x - 4 y) + z] [(x - 4 y) - z]

What is factor 10xy+0.25x^2+100y^2 ?
The solution to factor 10xy+0.25x^2+100y^2 is (0.5x+10y)^2