What is factor 4y^2-24xy+27x^2 ?

The solution to factor 4y^2-24xy+27x^2 is (2y-3x)(2y-9x)

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factor 4y^2-24xy+27x^2

factor

4 y^{2} - 24 x y + 27 x^{2}

(2 y - 3 x) (2 y - 9 x)

Solution steps

4 y^{2} - 24 x y + 27 x^{2}

Break the expression into groups

= (4 y^{2} - 6 y x) + (- 18 y x + 27 x^{2})

Factor out

2 y

from

4 y^{2} - 6 y x : 2 y (2 y - 3 x)

Factor out

- 9 x

from

- 18 y x + 27 x^{2} : - 9 x (2 y - 3 x)

= 2 y (2 y - 3 x) - 9 x (2 y - 3 x)

Factor out common term

2 y - 3 x

= (2 y - 3 x) (2 y - 9 x)

\frac{2}{3} \cdot 45

9 \times 9 \times 9 \times 9 \times 9

\frac{27 x ^{- 2} y ^{6}}{3 x ^{5} y ^{2}}

(2 i)^{3} \cdot (5 i)

3 (- 5 x)^{- \frac{1}{3}}

What is factor 4y^2-24xy+27x^2 ?
The solution to factor 4y^2-24xy+27x^2 is (2y-3x)(2y-9x)