What is factor (216b^3)+1000c^6 ?

The solution to factor (216b^3)+1000c^6 is 8(3b+5c^2)(9b^2-15bc^2+25c^4)

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factor (216b^3)+1000c^6

factor

(216 b^{3}) + 1000 c^{6}

8 (3 b + 5 c^{2}) (9 b^{2} - 15 b c^{2} + 25 c^{4})

Solution steps

(216 b^{3}) + 1000 c^{6}

Remove parentheses:

(a) = a

= 216 b^{3} + 1000 c^{6}

Rewrite

1000

125 \cdot 8

Rewrite

216

27 \cdot 8

= 27 \cdot 8 b^{3} + 125 \cdot 8 c^{6}

Factor out common term

8

= 8 (27 b^{3} + 125 c^{6})

Factor

27 b^{3} + 125 c^{6} : (3 b + 5 c^{2}) (3^{2} b^{2} - 3 \cdot 5 b c^{2} + 5^{2} c^{4})

= 8 (3 b + 5 c^{2}) (3^{2} b^{2} - 3 \cdot 5 b c^{2} + 5^{2} c^{4})

Refine

= 8 (3 b + 5 c^{2}) (9 b^{2} - 15 b c^{2} + 25 c^{4})

cos (3 a + 9 b)

x^{2} - 4 x + 4 x

s^{2} + 3^{2}

- (sin^{2} (x))

5 x - 5

What is factor (216b^3)+1000c^6 ?
The solution to factor (216b^3)+1000c^6 is 8(3b+5c^2)(9b^2-15bc^2+25c^4)