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Popular >

factor 64x^3+125

Solution

factor

64 x^{3} + 125

Solution

(4 x + 5) (16 x^{2} - 20 x + 25)

Solution steps

64 x^{3} + 125

Apply exponent rules

= (4 x)^{3} + 5^{3}

Apply Sum of Cubes Formula:

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

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

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

Simplify

(4 x + 5) (4^{2} x^{2} - 5 \cdot 4 x + 5^{2}) : (4 x + 5) (16 x^{2} - 20 x + 25)

= (4 x + 5) (16 x^{2} - 20 x + 25)

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Frequently Asked Questions (FAQ)

What is factor 64x^3+125 ?
The solution to factor 64x^3+125 is (4x+5)(16x^2-20x+25)