What is factor 64y^6-b^6 ?

The solution to factor 64y^6-b^6 is (2y+b)(4y^2+b^2-2by)(2y-b)(4y^2+b^2+2by)

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factor 64y^6-b^6

factor

64 y^{6} - b^{6}

(2 y + b) (4 y^{2} + b^{2} - 2 b y) (2 y - b) (4 y^{2} + b^{2} + 2 b y)

Solution steps

64 y^{6} - b^{6}

64 y^{6} = (8 y^{3})^{2}

b^{6} = (b^{3})^{2}

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

Apply Difference of Two Squares Formula:

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

(8 y^{3})^{2} - (b^{3})^{2} = (8 y^{3} + b^{3}) (8 y^{3} - b^{3})

= (8 y^{3} + b^{3}) (8 y^{3} - b^{3})

Factor

8 y^{3} + b^{3} : (2 y + b) (4 y^{2} - 2 y b + b^{2})

= (2 y + b) (4 y^{2} - 2 y b + b^{2}) (8 y^{3} - b^{3})

Factor

8 y^{3} - b^{3} : (2 y - b) (4 y^{2} + 2 y b + b^{2})

= (2 y + b) (4 y^{2} - 2 y b + b^{2}) (2 y - b) (4 y^{2} + 2 y b + b^{2})

= (2 y + b) (4 y^{2} + b^{2} - 2 b y) (2 y - b) (4 y^{2} + b^{2} + 2 b y)

(5 x - 1) (x + 1)

\frac{r s ^{2} t ^{3}}{r ^{3} s ^{2} t}

3 x - 2 y - (3 x + y)

ln (125)

\frac{58}{7}

What is factor 64y^6-b^6 ?
The solution to factor 64y^6-b^6 is (2y+b)(4y^2+b^2-2by)(2y-b)(4y^2+b^2+2by)