What is factor 49x^8-16y^{14} ?

The solution to factor 49x^8-16y^{14} is (7x^4+4y^7)(7x^4-4y^7)

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factor 49x^8-16y^{14}

factor

49 x^{8} - 16 y^{14}

(7 x^{4} + 4 y^{7}) (7 x^{4} - 4 y^{7})

Solution steps

49 x^{8} - 16 y^{14}

49 x^{8} = (7 x^{4})^{2}

16 y^{14} = (4 y^{7})^{2}

= (7 x^{4})^{2} - (4 y^{7})^{2}

Apply Difference of Two Squares Formula:

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

(7 x^{4})^{2} - (4 y^{7})^{2} = (7 x^{4} + 4 y^{7}) (7 x^{4} - 4 y^{7})

= (7 x^{4} + 4 y^{7}) (7 x^{4} - 4 y^{7})

∣ x ∣ \times ∣ x ∣

(x - 1)^{7}

52 \cdot 3

x + \frac{4}{x ^{2}}

+ \frac{x ^{5} y}{x ^{2} y ^{6}}

What is factor 49x^8-16y^{14} ?
The solution to factor 49x^8-16y^{14} is (7x^4+4y^7)(7x^4-4y^7)