What is factor 36m^2+24mn+4n^2 ?

The solution to factor 36m^2+24mn+4n^2 is 4(3m+n)^2

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factor 36m^2+24mn+4n^2

factor

36 m^{2} + 24 mn + 4 n^{2}

4 (3 m + n)^{2}

Solution steps

36 m^{2} + 24 mn + 4 n^{2}

Factor out common term

4 : 4 (9 m^{2} + 6 mn + n^{2})

= 4 (9 m^{2} + 6 mn + n^{2})

Factor

9 m^{2} + 6 mn + n^{2} : (3 m + n) (3 m + n)

= 4 (3 m + n) (3 m + n)

Apply exponent rule:

aa = a^{2}

(3 m + n) (3 m + n) = (3 m + n)^{2}

= 4 (3 m + n)^{2}

\frac{( 14 \cdot 1 0 ^{9} )}{( 2 \cdot 1 0 ^{3} )}

\frac{6 3}{3}

12 < 2 x - 8 < 20

0 = x^{2} - 10 x + 25

v^{2} - 2 v - 35

What is factor 36m^2+24mn+4n^2 ?
The solution to factor 36m^2+24mn+4n^2 is 4(3m+n)^2