What is factor 12x^6-7x^3y-10y^2 ?

The solution to factor 12x^6-7x^3y-10y^2 is (3x^3+2y)(4x^3-5y)

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factor 12x^6-7x^3y-10y^2

factor

12 x^{6} - 7 x^{3} y - 10 y^{2}

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

Solution steps

12 x^{6} - 7 x^{3} y - 10 y^{2}

Break the expression into groups

= (12 x^{6} + 8 x^{3} y) + (- 15 x^{3} y - 10 y^{2})

Factor out

4 x^{3}

from

12 x^{6} + 8 x^{3} y : 4 x^{3} (3 x^{3} + 2 y)

Factor out

- 5 y

from

- 15 x^{3} y - 10 y^{2} : - 5 y (3 x^{3} + 2 y)

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

Factor out common term

3 x^{3} + 2 y

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

\frac{4}{7} - \frac{2}{3}

1 - 121 x^{4} y^{4}

35 \cdot 45

35 \cdot 42

1824

What is factor 12x^6-7x^3y-10y^2 ?
The solution to factor 12x^6-7x^3y-10y^2 is (3x^3+2y)(4x^3-5y)