What is factor a^4-256 ?

The solution to factor a^4-256 is (a^2+16)(a+4)(a-4)

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factor a^4-256

factor

a^{4} - 256

(a^{2} + 16) (a + 4) (a - 4)

Solution steps

a^{4} - 256

Apply exponent rules

= (a^{2})^{2} - 1 6^{2}

Apply Difference of Two Squares Formula:

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

(a^{2})^{2} - 1 6^{2} = (a^{2} + 16) (a^{2} - 16)

= (a^{2} + 16) (a^{2} - 16)

Factor

a^{2} - 16 : (a + 4) (a - 4)

= (a^{2} + 16) (a + 4) (a - 4)

x^{9} - 1

- 7 \geq 13 - 5 x

\frac{3 !}{( 3 - 1 ) ! 1 !} = (0.1)^{1} \cdot (0.9)^{2}

16 y^{2} + 8 x y + x^{2}