What is factor 6y^4+14y^3-10y^2 ?

The solution to factor 6y^4+14y^3-10y^2 is 2y^2(3y^2+7y-5)

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factor 6y^4+14y^3-10y^2

factor

6 y^{4} + 14 y^{3} - 10 y^{2}

2 y^{2} (3 y^{2} + 7 y - 5)

Solution steps

6 y^{4} + 14 y^{3} - 10 y^{2}

Apply exponent rule:

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

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

= 6 y^{2} y^{2} + 14 y y^{2} - 10 y^{2}

Rewrite

6

2 \cdot 3

Rewrite

14

2 \cdot 7

= 2 \cdot 3 y^{2} y^{2} + 2 \cdot 7 y y^{2} - 2 \cdot 5 y^{2}

Factor out common term

2 y^{2}

= 2 y^{2} (3 y^{2} + 7 y - 5)

4 \frac{5}{7}

1818 + 63

14 x^{3} + 21 x

\frac{33}{5} \div 1 \frac{4}{7}

- 2 x^{2} - 4 x^{2}

What is factor 6y^4+14y^3-10y^2 ?
The solution to factor 6y^4+14y^3-10y^2 is 2y^2(3y^2+7y-5)