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Popular >

factor 8r^3-1

Solution

factor

8 r^{3} - 1

Solution

(2 r - 1) (4 r^{2} + 2 r + 1)

Solution steps

8 r^{3} - 1

Apply exponent rules

= (2 r)^{3} - 1^{3}

Apply Difference of Cubes Formula:

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

(2 r)^{3} - 1^{3} = (2 r - 1) (2^{2} r^{2} + 2 r + 1)

= (2 r - 1) (2^{2} r^{2} + 2 r + 1)

2^{2} = 4

= (2 r - 1) (4 r^{2} + 2 r + 1)

Popular Examples

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(x + 8) + (x^{2} - 4 x)

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\frac{y ^{7} y ^{0}}{y ^{10}}

Frequently Asked Questions (FAQ)

What is factor 8r^3-1 ?
The solution to factor 8r^3-1 is (2r-1)(4r^2+2r+1)