What is factor x^{10}-y^2 ?

The solution to factor x^{10}-y^2 is (x^5+y)(x^5-y)

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factor x^{10}-y^2

factor

x^{10} - y^{2}

(x^{5} + y) (x^{5} - y)

Solution steps

x^{10} - y^{2}

Simplify

x^{10} : (x^{5})^{2}

= (x^{5})^{2} - y^{2}

Apply Difference of Two Squares Formula:

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

(x^{5})^{2} - y^{2} = (x^{5} + y) (x^{5} - y)

= (x^{5} + y) (x^{5} - y)

x + 2 x = 180

\frac{4 a ^{5}}{7 b ^{4}} \cdot \frac{2 b ^{2}}{2 a ^{4}}

2 x^{3} - x^{2} < 6 - 12 x

\frac{1}{4} x^{2} + \frac{5}{24} x y - \frac{1}{3} y^{2}

6 x = 36