What is factor 15x^2y^3-30x^3y+45x^4 ?

The solution to factor 15x^2y^3-30x^3y+45x^4 is 15x^2(y^3-2xy+3x^2)

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factor 15x^2y^3-30x^3y+45x^4

factor

15 x^{2} y^{3} - 30 x^{3} y + 45 x^{4}

15 x^{2} (y^{3} - 2 x y + 3 x^{2})

Solution steps

15 x^{2} y^{3} - 30 x^{3} y + 45 x^{4}

Apply exponent rule:

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

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

= 15 x^{2} y^{3} - 30 x^{2} x + 45 x^{2} x^{2}

Rewrite

45

3 \cdot 15

Rewrite

- 30

2 \cdot 15

= 15 x^{2} y^{3} + 2 \cdot 15 x^{2} x + 3 \cdot 15 x^{2} x^{2}

Factor out common term

15 x^{2}

= 15 x^{2} (y^{3} - 2 x y + 3 x^{2})

(2.6) (10.4)

3 x - 3 x^{2}

23 \times 23 \times 23

sin (x) sec (x)

4 \cdot \frac{1}{1296} \cdot \frac{5}{6}

What is factor 15x^2y^3-30x^3y+45x^4 ?
The solution to factor 15x^2y^3-30x^3y+45x^4 is 15x^2(y^3-2xy+3x^2)