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Popular >

factor (5x+1)^3+8

Solution

factor

(5 x + 1)^{3} + 8

Solution

(5 x + 3) (25 x^{2} + 3)

Solution steps

(5 x + 1)^{3} + 8

Rewrite

8

as

2^{3}

= (5 x + 1)^{3} + 2^{3}

Apply Sum of Cubes Formula:

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

(5 x + 1)^{3} + 2^{3} = ((5 x + 1) + 2) ((5 x + 1)^{2} - 2 (5 x + 1) + 2^{2})

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

Refine

= (5 x + 3) ((5 x + 1)^{2} - 2 (5 x + 1) + 4)

Expand

(5 x + 1)^{2} - 2 (5 x + 1) + 4 : 25 x^{2} + 3

= (5 x + 3) (25 x^{2} + 3)

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Frequently Asked Questions (FAQ)

What is factor (5x+1)^3+8 ?
The solution to factor (5x+1)^3+8 is (5x+3)(25x^2+3)