What is factor a^6b^8-36 ?

The solution to factor a^6b^8-36 is (a^3b^4+6)(a^3b^4-6)

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factor a^6b^8-36

factor

a^{6} b^{8} - 36

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

Solution steps

a^{6} b^{8} - 36

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

36 = 6^{2}

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

Apply Difference of Two Squares Formula:

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

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

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

(\frac{5 m + 25}{14}) (\frac{7 m + 7}{10 m + 50})

\frac{5}{12} + \frac{7}{24}

\frac{1}{sin ( t )}

\frac{sin ( x )}{cos ( x ) - cos ^{3} ( x )}

What is factor a^6b^8-36 ?
The solution to factor a^6b^8-36 is (a^3b^4+6)(a^3b^4-6)