What is factor 8e^3f^6+125g^3 ?

The solution to factor 8e^3f^6+125g^3 is (2ef^2+5g)(4e^2f^4-10ef^2g+25g^2)

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factor 8e^3f^6+125g^3

factor

8 e^{3} f^{6} + 125 g^{3}

(2 e f^{2} + 5 g) (4 e^{2} f^{4} - 10 e f^{2} g + 25 g^{2})

Solution steps

8 e^{3} f^{6} + 125 g^{3}

Rewrite

8 e^{3} f^{6}

(2 e f^{2})^{3}

Rewrite

125 g^{3}

(5 g)^{3}

= (2 e f^{2})^{3} + (5 g)^{3}

Apply Sum of Cubes Formula:

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

(2 e f^{2})^{3} + (5 g)^{3} = (2 e f^{2} + 5 g) ((2 e f^{2})^{2} - 2 e f^{2} 5 g + (5 g)^{2})

= (2 e f^{2} + 5 g) ((2 e f^{2})^{2} - 2 e f^{2} 5 g + (5 g)^{2})

Simplify

(2 e f^{2} + 5 g) ((2 e f^{2})^{2} - 2 e f^{2} \cdot 5 g + (5 g)^{2}) : (2 e f^{2} + 5 g) (4 e^{2} f^{4} - 10 e f^{2} g + 25 g^{2})

= (2 e f^{2} + 5 g) (4 e^{2} f^{4} - 10 e f^{2} g + 25 g^{2})

u^{2} π (t) cos (t)

1.2 x^{2} + 6.4 x + (- 2.8)

a t + a z + b t + b z

2 x^{5} - 32

a x + 2 a y + 2 b x + 4 b y

What is factor 8e^3f^6+125g^3 ?
The solution to factor 8e^3f^6+125g^3 is (2ef^2+5g)(4e^2f^4-10ef^2g+25g^2)