What is factor 49x^8+76x^4y^4+100y^8 ?

The solution to factor 49x^8+76x^4y^4+100y^8 is (7x^4+10y^4+8x^2y^2)(7x^4+10y^4-8x^2y^2)

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factor 49x^8+76x^4y^4+100y^8

factor

49 x^{8} + 76 x^{4} y^{4} + 100 y^{8}

(7 x^{4} + 10 y^{4} + 8 x^{2} y^{2}) (7 x^{4} + 10 y^{4} - 8 x^{2} y^{2})

Solution steps

49 x^{8} + 76 x^{4} y^{4} + 100 y^{8}

Add and subtract

64 x^{4} y^{4}

= 49 x^{8} + 140 x^{4} y^{4} + 100 y^{8} - 64 x^{4} y^{4}

Factor

49 x^{8} + 140 x^{4} y^{4} + 100 y^{8} : (7 x^{4} + 10 y^{4})^{2}

= (7 x^{4} + 10 y^{4})^{2} - 64 x^{4} y^{4}

Apply exponent rules

= (7 x^{4} + 10 y^{4})^{2} - (8 x^{2} y^{2})^{2}

Factor

(7 x^{4} + 10 y^{4})^{2} - (8 x^{2} y^{2})^{2} : (7 x^{4} + 10 y^{4} + 8 x^{2} y^{2}) (7 x^{4} + 10 y^{4} - 8 x^{2} y^{2})

= (7 x^{4} + 10 y^{4} + 8 x^{2} y^{2}) (7 x^{4} + 10 y^{4} - 8 x^{2} y^{2})

2 (3 x + 1)

20 lo g_{10} (4)

(x + 6) (2 x + 8)

(2 x) (3 x)

\frac{\frac{x ^{2}}{x ^{2} - x - 42}}{\frac{5 x}{x ^{2} - 36}}

What is factor 49x^8+76x^4y^4+100y^8 ?
The solution to factor 49x^8+76x^4y^4+100y^8 is (7x^4+10y^4+8x^2y^2)(7x^4+10y^4-8x^2y^2)