What is factor 6x^2-30x^3y+18x^4 ?

The solution to factor 6x^2-30x^3y+18x^4 is 6x^2(1-5xy+3x^2)

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factor 6x^2-30x^3y+18x^4

factor

6 x^{2} - 30 x^{3} y + 18 x^{4}

6 x^{2} (1 - 5 x y + 3 x^{2})

Solution steps

6 x^{2} - 30 x^{3} y + 18 x^{4}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

x^{3} y = x^{2} x, x^{4} = x^{2} x^{2}

= 6 x^{2} - 30 x^{2} x + 18 x^{2} x^{2}

Rewrite

18

3 \cdot 6

Rewrite

- 30

5 \cdot 6

= 6 x^{2} + 5 \cdot 6 x^{2} x + 3 \cdot 6 x^{2} x^{2}

Factor out common term

6 x^{2}

= 6 x^{2} (1 - 5 x y + 3 x^{2})

\frac{ln ( 1 )}{x}

(\frac{1}{( 4 a \cdot b ^{2} \cdot c )})^{2} + (\frac{3}{( 2 a ^{2} \cdot b \cdot c ^{2} )})^{4}

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

(3 + 2 b)^{8}

(\frac{1}{3} \cdot a^{2} - \frac{3}{2} \cdot b^{2})^{2}

What is factor 6x^2-30x^3y+18x^4 ?
The solution to factor 6x^2-30x^3y+18x^4 is 6x^2(1-5xy+3x^2)