What is factor 144x^2y^2+24xy+1 ?

The solution to factor 144x^2y^2+24xy+1 is (12xy+1)^2

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factor 144x^2y^2+24xy+1

factor

144 x^{2} y^{2} + 24 x y + 1

(12 x y + 1)^{2}

Solution steps

144 x^{2} y^{2} + 24 x y + 1

Rewrite in the form of

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

144 x^{2} y^{2} = (12 x y)^{2}

1 = 1^{2}

24 x y = 2 \cdot 12 x y \cdot 1

= (12 x y)^{2} + 2 \cdot 12 x y \cdot 1 + 1^{2}

Apply Perfect Square Formula:

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

(12 x y)^{2} + 2 \cdot 12 x y \cdot 1 + 1^{2} = (12 x y + 1)^{2}

= (12 x y + 1)^{2}

9 y^{3} - 6

5 (4 - 2 x)

^{'} (cos (x) \cdot cos (500 \cdot x) + ∣ x ∣ - 0.4) \cdot ((3 - x \cdot x)^{0.1})^{'}

\frac{cos ^{2} ( a )}{sin ( a ) + sin ( a )}

- (a + 3)^{2}

What is factor 144x^2y^2+24xy+1 ?
The solution to factor 144x^2y^2+24xy+1 is (12xy+1)^2