What is factor 8x^6+125 ?

The solution to factor 8x^6+125 is (2x^2+5)(4x^4-10x^2+25)

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factor 8x^6+125

factor

8 x^{6} + 125

(2 x^{2} + 5) (4 x^{4} - 10 x^{2} + 25)

Solution steps

8 x^{6} + 125

Apply exponent rules

= (2 x^{2})^{3} + 5^{3}

Apply Sum of Cubes Formula:

x^{3} + y^{3} = (x + y) (x^{2} - x y + y^{2})

(2 x^{2})^{3} + 5^{3} = (2 x^{2} + 5) (2^{2} x^{4} - 5 \cdot 2 x^{2} + 5^{2})

= (2 x^{2} + 5) (2^{2} x^{4} - 5 \cdot 2 x^{2} + 5^{2})

Simplify

(2 x^{2} + 5) (2^{2} x^{4} - 5 \cdot 2 x^{2} + 5^{2}) : (2 x^{2} + 5) (4 x^{4} - 10 x^{2} + 25)

= (2 x^{2} + 5) (4 x^{4} - 10 x^{2} + 25)

\frac{l ^{- 1} \cdot s}{( ( s ^{2} + 1 ) ( s ^{2} + 4 ) ( s ^{2} + 9 ) )}

- 1 x y + 5 x y^{2} z

343 x^{3} - 1331 y^{3}

(a + b)^{3} - 3 a \cdot b (a + b)

(3 y) (- 2 y^{8})

What is factor 8x^6+125 ?
The solution to factor 8x^6+125 is (2x^2+5)(4x^4-10x^2+25)