What is factor 9r^8+14r^4v^4-8v^8 ?

The solution to factor 9r^8+14r^4v^4-8v^8 is (3r^2+2v^2)(3r^2-2v^2)(r^4+2v^4)

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factor 9r^8+14r^4v^4-8v^8

factor

9 r^{8} + 14 r^{4} v^{4} - 8 v^{8}

(3 r^{2} + 2 v^{2}) (3 r^{2} - 2 v^{2}) (r^{4} + 2 v^{4})

Solution steps

9 r^{8} + 14 r^{4} v^{4} - 8 v^{8}

Break the expression into groups

= (9 r^{8} - 4 r^{4} v^{4}) + (18 r^{4} v^{4} - 8 v^{8})

Factor out

r^{4}

from

9 r^{8} - 4 r^{4} v^{4} : r^{4} (9 r^{4} - 4 v^{4})

Factor out

2 v^{4}

from

18 r^{4} v^{4} - 8 v^{8} : 2 v^{4} (9 r^{4} - 4 v^{4})

= r^{4} (9 r^{4} - 4 v^{4}) + 2 v^{4} (9 r^{4} - 4 v^{4})

Factor out common term

9 r^{4} - 4 v^{4}

= (9 r^{4} - 4 v^{4}) (r^{4} + 2 v^{4})

Factor

9 r^{4} - 4 v^{4} : (3 r^{2} + 2 v^{2}) (3 r^{2} - 2 v^{2})

= (3 r^{2} + 2 v^{2}) (3 r^{2} - 2 v^{2}) (r^{4} + 2 v^{4})

x + 4 = - 14

3 (x - 2) = 12

1 0^{2} + 1 2^{2} = x^{2}

3 w + 4 = 6 w + 19

(\frac{2}{3})^{- 3}

What is factor 9r^8+14r^4v^4-8v^8 ?
The solution to factor 9r^8+14r^4v^4-8v^8 is (3r^2+2v^2)(3r^2-2v^2)(r^4+2v^4)