What is factor 16x^4+8x^2*y+y^2 ?

The solution to factor 16x^4+8x^2*y+y^2 is (4x^2+y)^2

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factor 16x^4+8x^2*y+y^2

factor

16 x^{4} + 8 x^{2} \cdot y + y^{2}

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

Solution steps

16 x^{4} + 8 x^{2} y + y^{2}

Break the expression into groups

= (16 x^{4} + 4 x^{2} y) + (4 x^{2} y + y^{2})

Factor out

4 x^{2}

from

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

Factor out

y

from

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

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

Factor out common term

4 x^{2} + y

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

Apply exponent rule:

aa = a^{2}

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

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

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What is factor 16x^4+8x^2*y+y^2 ?
The solution to factor 16x^4+8x^2*y+y^2 is (4x^2+y)^2