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

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

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

factor

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

(x y + 5)^{2}

Solution steps

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

Group by common factors

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

Rewrite in the form of

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

x^{2} y^{2} = (x y)^{2}

25 = 5^{2}

10 x y = 2 x y \cdot 5

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

Apply Perfect Square Formula:

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

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

= (x y + 5)^{2}

lo g_{2} (3 - 1)

x^{3} + x y^{4}

(2 x - 3) (3 x - 2)

9 - 28

(5 - 6 i) + (3 + 2 i)

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