What is factor a^6+3a^3b^3-40b^6 ?

The solution to factor a^6+3a^3b^3-40b^6 is (a^3-5b^3)(a+2b)(a^2-2ab+4b^2)

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factor a^6+3a^3b^3-40b^6

factor

a^{6} + 3 a^{3} b^{3} - 40 b^{6}

(a^{3} - 5 b^{3}) (a + 2 b) (a^{2} - 2 ab + 4 b^{2})

Solution steps

a^{6} + 3 a^{3} b^{3} - 40 b^{6}

Break the expression into groups

= (a^{6} - 5 a^{3} b^{3}) + (8 a^{3} b^{3} - 40 b^{6})

Factor out

a^{3}

from

a^{6} - 5 a^{3} b^{3} : a^{3} (a^{3} - 5 b^{3})

Factor out

8 b^{3}

from

8 a^{3} b^{3} - 40 b^{6} : 8 b^{3} (a^{3} - 5 b^{3})

= a^{3} (a^{3} - 5 b^{3}) + 8 b^{3} (a^{3} - 5 b^{3})

Factor out common term

a^{3} - 5 b^{3}

= (a^{3} - 5 b^{3}) (a^{3} + 8 b^{3})

Factor

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

= (a^{3} - 5 b^{3}) (a + 2 b) (a^{2} - 2 ab + 4 b^{2})

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

(3 y^{2})^{3}

a + 3 - a + 2

tan (9 0^{\circ}) - a

(\frac{2 x ^{7} - 4}{x ^{5}})^{5}

What is factor a^6+3a^3b^3-40b^6 ?
The solution to factor a^6+3a^3b^3-40b^6 is (a^3-5b^3)(a+2b)(a^2-2ab+4b^2)