What is factor 72x^5-72x^3-80x^2 ?

The solution to factor 72x^5-72x^3-80x^2 is 8x^2(9x^3-9x-10)

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factor 72x^5-72x^3-80x^2

factor

72 x^{5} - 72 x^{3} - 80 x^{2}

8 x^{2} (9 x^{3} - 9 x - 10)

Solution steps

72 x^{5} - 72 x^{3} - 80 x^{2}

Apply exponent rule:

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

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

= 72 x^{3} x^{2} - 72 x x^{2} - 80 x^{2}

Rewrite

72

8 \cdot 9

Rewrite

72

8 \cdot 9

= 8 \cdot 9 x^{3} x^{2} - 8 \cdot 9 x x^{2} - 8 \cdot 10 x^{2}

Factor out common term

8 x^{2}

= 8 x^{2} (9 x^{3} - 9 x - 10)

\frac{405}{324}

\frac{29}{4}

\frac{48}{- 12}

(7 + 5 i) (2 + 3 i)

(- 4 x + y) (4 x + y)

What is factor 72x^5-72x^3-80x^2 ?
The solution to factor 72x^5-72x^3-80x^2 is 8x^2(9x^3-9x-10)