What is factor 4+625y^8 ?

The solution to factor 4+625y^8 is (25y^4+10y^2+2)(25y^4-10y^2+2)

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factor 4+625y^8

factor

4 + 625 y^{8}

(25 y^{4} + 10 y^{2} + 2) (25 y^{4} - 10 y^{2} + 2)

Solution steps

4 + 625 y^{8}

Write in the standard form

= 625 y^{8} + 4

Let

u = y^{2}

= 625 u^{4} + 4

Factor

625 u^{4} + 4 : (25 u^{2} + 10 u + 2) (25 u^{2} - 10 u + 2)

= (25 u^{2} + 10 u + 2) (25 u^{2} - 10 u + 2)

Substitute back

u = y^{2}

= (25 y^{4} + 10 y^{2} + 2) (25 y^{4} - 10 y^{2} + 2)

x^{2} + \frac{1}{9} + \frac{( 2 x )}{3}

6 x [3 + (10 + 26)]

3 x (2 - 2 x + 3)

\frac{( 3 ^{x + l} + 3 ^{x} )}{( 3 ^{x + 3} - 3 ^{x + l} )}

2 - 2 x^{2} + 1

What is factor 4+625y^8 ?
The solution to factor 4+625y^8 is (25y^4+10y^2+2)(25y^4-10y^2+2)