What is factor 16^5-44x^4+30^3 ?

The solution to factor 16^5-44x^4+30^3 is 4(-11x^4+268894)

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factor 16^5-44x^4+30^3

factor

1 6^{5} - 44 x^{4} + 3 0^{3}

4 (- 11 x^{4} + 268894)

Solution steps

1 6^{5} - 44 x^{4} + 3 0^{3}

30 = 2 \cdot 3 \cdot 5

= 1 6^{5} - 2^{2} \cdot 1 1^{1} x^{4} + (2 \cdot 3 \cdot 5)^{3}

Apply exponent rule:

(ab)^{c} = a^{c} b^{c}

= 1 6^{5} - 2^{2} \cdot 1 1^{1} x^{4} + 2^{3} \cdot 3^{3} \cdot 5^{3}

Rewrite as

= 1048576 - 4 \cdot 11 x^{4} + 4 \cdot 6750

Factor out common term

4

= 1048576 + 4 (- 11 x^{4} + 6750)

Rewrite as

= 4 \cdot 262144 + 4 (6750 - x^{4} \cdot 11)

Factor out common term

4

= 4 (262144 + 6750 - x^{4} \cdot 11)

Refine

= 4 (- 11 x^{4} + 268894)

\frac{b + 2}{3 \cdot 3}

(4 c + d)^{2} - 9 c^{2} + 6 c - 1

v (1.3)

g (x) d x

a^{2} + 4 b^{2}

What is factor 16^5-44x^4+30^3 ?
The solution to factor 16^5-44x^4+30^3 is 4(-11x^4+268894)