What is factor 16m^4+4m^2*n^2+n^4 ?

The solution to factor 16m^4+4m^2*n^2+n^4 is (4m^2+n^2+2mn)(4m^2+n^2-2mn)

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factor 16m^4+4m^2*n^2+n^4

factor

16 m^{4} + 4 m^{2} \cdot n^{2} + n^{4}

(4 m^{2} + n^{2} + 2 mn) (4 m^{2} + n^{2} - 2 mn)

Solution steps

16 m^{4} + 4 m^{2} n^{2} + n^{4}

Add and subtract

4 m^{2} n^{2}

= 16 m^{4} + 8 m^{2} n^{2} + n^{4} - 4 m^{2} n^{2}

Factor

16 m^{4} + 8 m^{2} n^{2} + n^{4} : (4 m^{2} + n^{2})^{2}

= (4 m^{2} + n^{2})^{2} - 4 m^{2} n^{2}

Apply exponent rules

= (4 m^{2} + n^{2})^{2} - (2 mn)^{2}

Factor

(4 m^{2} + n^{2})^{2} - (2 mn)^{2} : (4 m^{2} + n^{2} + 2 mn) (4 m^{2} + n^{2} - 2 mn)

= (4 m^{2} + n^{2} + 2 mn) (4 m^{2} + n^{2} - 2 mn)

\frac{( x ^{2} + 4 x + 4 )}{( 2 + 1 )}

5 20 z + 45 z

2 ∣ a + b ∣ + 3 ∣ a - b ∣ - ∣ b ∣^{2}

(3 x - 5) (2 x + 2)

(8 x^{- 5})^{- 3}

What is factor 16m^4+4m^2*n^2+n^4 ?
The solution to factor 16m^4+4m^2*n^2+n^4 is (4m^2+n^2+2mn)(4m^2+n^2-2mn)