What is factor 25x^2+10xy+y^2 ?

The solution to factor 25x^2+10xy+y^2 is (5x+y)^2

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factor 25x^2+10xy+y^2

factor

25 x^{2} + 10 x y + y^{2}

(5 x + y)^{2}

Solution steps

25 x^{2} + 10 x y + y^{2}

Rewrite in the form of

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

25 x^{2} = (5 x)^{2}

10 x y = 2 \cdot 5 x y

= (5 x)^{2} + 2 \cdot 5 x y + y^{2}

Apply Perfect Square Formula:

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

(5 x)^{2} + 2 \cdot 5 x y + y^{2} = (5 x + y)^{2}

= (5 x + y)^{2}

5 x + 2 = 0

1.5 = ∣ x + 2 ∣

\frac{3 + 2}{3 - 2}

3 a - 96 a + 24 ab + 4 + 12 c + 3

- \frac{π}{2} + \frac{π}{2}

What is factor 25x^2+10xy+y^2 ?
The solution to factor 25x^2+10xy+y^2 is (5x+y)^2