What is factor 40x^6+15x^4-20x^3-15x^2 ?

The solution to factor 40x^6+15x^4-20x^3-15x^2 is 5x^2(8x^4+3x^2-4x-3)

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factor 40x^6+15x^4-20x^3-15x^2

factor

40 x^{6} + 15 x^{4} - 20 x^{3} - 15 x^{2}

5 x^{2} (8 x^{4} + 3 x^{2} - 4 x - 3)

Solution steps

40 x^{6} + 15 x^{4} - 20 x^{3} - 15 x^{2}

Apply exponent rule:

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

x^{3} = x x^{2}

= 40 x^{4} x^{2} + 15 x^{2} x^{2} - 20 x x^{2} - 15 x^{2}

Rewrite

40

5 \cdot 8

Rewrite

15

5 \cdot 3

= 5 \cdot 8 x^{4} x^{2} + 5 \cdot 3 x^{2} x^{2} - 5 \cdot 4 x x^{2} - 5 \cdot 3 x^{2}

Factor out common term

5 x^{2}

= 5 x^{2} (8 x^{4} + 3 x^{2} - 4 x - 3)

\frac{3}{12 6}

5^{2} - 4 \cdot 1 \cdot 6

(3 x^{2} - 5 x + 7) + (- 2 + 6 x - 7 x^{2} + x^{3})

m x^{2} + (2 m + 3 n) x y + 6 n y^{2}

- 32 + 8

What is factor 40x^6+15x^4-20x^3-15x^2 ?
The solution to factor 40x^6+15x^4-20x^3-15x^2 is 5x^2(8x^4+3x^2-4x-3)