What is factor a^2*b^6-1 ?

The solution to factor a^2*b^6-1 is (ab^3+1)(ab^3-1)

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factor a^2*b^6-1

factor

a^{2} \cdot b^{6} - 1

(a b^{3} + 1) (a b^{3} - 1)

Solution steps

a^{2} b^{6} - 1

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

1 = 1^{2}

= (a b^{3})^{2} - 1^{2}

Apply Difference of Two Squares Formula:

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

(a b^{3})^{2} - 1^{2} = (a b^{3} + 1) (a b^{3} - 1)

= (a b^{3} + 1) (a b^{3} - 1)

2 \cdot 3 a + 4 b

(2^{a})^{2}

(2 x \cdot y^{5})^{3}

14 x^{2} \cdot y^{2} - 28 x^{3} + 56 x^{4}

l - 1 (t^{7} e^{5} t)