What is factor 25x^4-30x^3y+9x^2y^2 ?

The solution to factor 25x^4-30x^3y+9x^2y^2 is x^2(5x-3y)^2

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factor 25x^4-30x^3y+9x^2y^2

factor

25 x^{4} - 30 x^{3} y + 9 x^{2} y^{2}

x^{2} (5 x - 3 y)^{2}

Solution steps

25 x^{4} - 30 x^{3} y + 9 x^{2} y^{2}

Factor out common term

x^{2} : x^{2} (25 x^{2} - 30 x y + 9 y^{2})

= x^{2} (25 x^{2} - 30 x y + 9 y^{2})

Factor

25 x^{2} - 30 x y + 9 y^{2} : (5 x - 3 y) (5 x - 3 y)

= x^{2} (5 x - 3 y) (5 x - 3 y)

Apply exponent rule:

aa = a^{2}

(5 x - 3 y) (5 x - 3 y) = (5 x - 3 y)^{2}

= x^{2} (5 x - 3 y)^{2}

\frac{( x ^{3} - 2 x ^{2} - 5 x + 6 )}{( x - 3 )}

(x - 1) (x - 2)^{2}

\frac{9 x - 4}{8} + \frac{3 x + 8}{8}

(x + 2)^{2}

\frac{1 + \frac{1}{x - 1}}{1 + \frac{1}{x ^{2} - 1}}

What is factor 25x^4-30x^3y+9x^2y^2 ?
The solution to factor 25x^4-30x^3y+9x^2y^2 is x^2(5x-3y)^2