What is factor 4x^4+3x^2y^2+y^4 ?

The solution to factor 4x^4+3x^2y^2+y^4 is (2x^2+y^2+xy)(2x^2+y^2-xy)

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factor 4x^4+3x^2y^2+y^4

factor

4 x^{4} + 3 x^{2} y^{2} + y^{4}

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

Solution steps

4 x^{4} + 3 x^{2} y^{2} + y^{4}

Add and subtract

x^{2} y^{2}

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

Factor

4 x^{4} + 4 x^{2} y^{2} + y^{4} : (2 x^{2} + y^{2})^{2}

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

Apply exponent rule:

a^{m} b^{m} = (ab)^{m}

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

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

Factor

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

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

\frac{72}{9}

- 7^{- 2}

(2 ab + 5)^{2}

\frac{( x + 1 ) ! + x !}{( x - 1 ) ! + ( x - 2 ) !} - x + 2

9 \frac{3}{2}

What is factor 4x^4+3x^2y^2+y^4 ?
The solution to factor 4x^4+3x^2y^2+y^4 is (2x^2+y^2+xy)(2x^2+y^2-xy)