What is factor a^8b^6-c^{12} ?

The solution to factor a^8b^6-c^{12} is (a^4b^3+c^6)(a^4b^3-c^6)

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factor a^8b^6-c^{12}

factor

a^{8} b^{6} - c^{12}

(a^{4} b^{3} + c^{6}) (a^{4} b^{3} - c^{6})

Solution steps

a^{8} b^{6} - c^{12}

a^{8} b^{6} = (a^{4} b^{3})^{2}

c^{12} = (c^{6})^{2}

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

Apply Difference of Two Squares Formula:

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

(a^{4} b^{3})^{2} - (c^{6})^{2} = (a^{4} b^{3} + c^{6}) (a^{4} b^{3} - c^{6})

= (a^{4} b^{3} + c^{6}) (a^{4} b^{3} - c^{6})

- 610 \cdot 312

(x - 4) (x + 4) - (x - 3) (x - 2) + 3 x + 10

- 445 - 1080

x^{4} x

What is factor a^8b^6-c^{12} ?
The solution to factor a^8b^6-c^{12} is (a^4b^3+c^6)(a^4b^3-c^6)