What is factor 20y^4-15y^3+30y^2 ?

The solution to factor 20y^4-15y^3+30y^2 is 5y^2(4y^2-3y+6)

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factor 20y^4-15y^3+30y^2

factor

20 y^{4} - 15 y^{3} + 30 y^{2}

5 y^{2} (4 y^{2} - 3 y + 6)

Solution steps

20 y^{4} - 15 y^{3} + 30 y^{2}

Apply exponent rule:

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

y^{3} = y y^{2}

= 20 y^{2} y^{2} - 15 y y^{2} + 30 y^{2}

Rewrite

20

5 \cdot 4

Rewrite

15

5 \cdot 3

= 5 \cdot 4 y^{2} y^{2} - 5 \cdot 3 y y^{2} + 5 \cdot 6 y^{2}

Factor out common term

5 y^{2}

= 5 y^{2} (4 y^{2} - 3 y + 6)

800

4 x^{2} + 20 x + 9

c^{2} + 7 c + 12

16 x^{2} - 22 x + 5 = 2 x

2^{\frac{5}{2}}

What is factor 20y^4-15y^3+30y^2 ?
The solution to factor 20y^4-15y^3+30y^2 is 5y^2(4y^2-3y+6)