What is factor 8x^6+48x^5+96x^4 ?

The solution to factor 8x^6+48x^5+96x^4 is 8x^4(x^2+6x+12)

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factor 8x^6+48x^5+96x^4

factor

8 x^{6} + 48 x^{5} + 96 x^{4}

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

Solution steps

8 x^{6} + 48 x^{5} + 96 x^{4}

Apply exponent rule:

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

x^{5} = x x^{4}

= 8 x^{2} x^{4} + 48 x x^{4} + 96 x^{4}

Rewrite

48

8 \cdot 6

Rewrite

96

8 \cdot 12

= 8 x^{2} x^{4} + 8 \cdot 6 x x^{4} + 8 \cdot 12 x^{4}

Factor out common term

8 x^{4}

= 8 x^{4} (x^{2} + 6 x + 12)

10 x^{2} + 7 x - 12 = 0

18 - x^{2} = 39

\frac{3 + 7 i}{i}

5^{2}

\frac{3 x + 5}{3} + \frac{x + 4}{2} \geq \frac{x + 3}{6}

What is factor 8x^6+48x^5+96x^4 ?
The solution to factor 8x^6+48x^5+96x^4 is 8x^4(x^2+6x+12)