What is factor 4x^2+9y^2-12xy ?

The solution to factor 4x^2+9y^2-12xy is (2x-3y)^2

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factor 4x^2+9y^2-12xy

factor

4 x^{2} + 9 y^{2} - 12 x y

(2 x - 3 y)^{2}

Solution steps

4 x^{2} + 9 y^{2} - 12 x y

Group by common factors

= 4 x^{2} - 12 x y + 9 y^{2}

Rewrite in the form of

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

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

9 y^{2} = (3 y)^{2}

- 12 x y = - 2 \cdot 2 x \cdot 3 y

= (2 x)^{2} - 2 \cdot 2 x \cdot 3 y + (3 y)^{2}

Apply Perfect Square Formula:

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

(2 x)^{2} - 2 \cdot 2 x \cdot 3 y + (3 y)^{2} = (2 x - 3 y)^{2}

= (2 x - 3 y)^{2}

(x - 1) \cdot (x - 2)

\frac{72}{180}

- 5 (3 p + 3) + 9 (- 7 + p)

3 lo g_{10} (4)

81 x^{6}

What is factor 4x^2+9y^2-12xy ?
The solution to factor 4x^2+9y^2-12xy is (2x-3y)^2