What is factor x^4+12x^2y^2+64y^4 ?

The solution to factor x^4+12x^2y^2+64y^4 is (x^2+8y^2+2xy)(x^2+8y^2-2xy)

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factor x^4+12x^2y^2+64y^4

factor

x^{4} + 12 x^{2} y^{2} + 64 y^{4}

(x^{2} + 8 y^{2} + 2 x y) (x^{2} + 8 y^{2} - 2 x y)

Solution steps

x^{4} + 12 x^{2} y^{2} + 64 y^{4}

Add and subtract

4 x^{2} y^{2}

= x^{4} + 16 x^{2} y^{2} + 64 y^{4} - 4 x^{2} y^{2}

Factor

x^{4} + 16 x^{2} y^{2} + 64 y^{4} : (x^{2} + 8 y^{2})^{2}

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

Apply exponent rules

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

Factor

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

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

\frac{- 8}{25 x - 50}

(1 + 2 x + y)^{2}

(\frac{1}{5 \cdot a ^{3} + b ^{2}})^{2}

(a + b) (a - b) + (\frac{a - 1}{2 b})^{2}

z^{3} + 2 z^{2} - 68 z + 120

What is factor x^4+12x^2y^2+64y^4 ?
The solution to factor x^4+12x^2y^2+64y^4 is (x^2+8y^2+2xy)(x^2+8y^2-2xy)