What is factor 16a^4*b^6-c^6 ?

The solution to factor 16a^4*b^6-c^6 is (4a^2b^3+c^3)(4a^2b^3-c^3)

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factor 16a^4*b^6-c^6

factor

16 a^{4} \cdot b^{6} - c^{6}

(4 a^{2} b^{3} + c^{3}) (4 a^{2} b^{3} - c^{3})

Solution steps

16 a^{4} b^{6} - c^{6}

16 a^{4} b^{6} = (4 a^{2} b^{3})^{2}

c^{6} = (c^{3})^{2}

= (4 a^{2} b^{3})^{2} - (c^{3})^{2}

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

(4 a^{2} b^{3})^{2} - (c^{3})^{2} = (4 a^{2} b^{3} + c^{3}) (4 a^{2} b^{3} - c^{3})

= (4 a^{2} b^{3} + c^{3}) (4 a^{2} b^{3} - c^{3})

2 \frac{x}{x ^{2}} - 9 + \frac{5}{x ^{2}} + x - 6

2 (x - 1) (x + 1) - (2 x - 1) (x + 1)

(2 - t)^{4}

x^{2} + \frac{1}{( x ^{2} )} + 2 - 2 x - \frac{2}{x}

(a + b)^{3} - 16 (a + b)

What is factor 16a^4*b^6-c^6 ?
The solution to factor 16a^4*b^6-c^6 is (4a^2b^3+c^3)(4a^2b^3-c^3)