What is factor a^4-b^6 ?

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

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factor a^4-b^6

factor

a^{4} - b^{6}

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

Solution steps

a^{4} - b^{6}

a^{4} = (a^{2})^{2}

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

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

Apply Difference of Two Squares Formula:

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

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

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

\frac{5 - 2 2}{12}

(4 x^{2} + x - 5) - (5 x^{2} - 1)

(5 x^{2} + x) (5 x^{2} + x) (x - 1)

- 6 (- 8 - 22)

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