What is factor 9m^4+14m^2n^2+25n^4 ?

The solution to factor 9m^4+14m^2n^2+25n^4 is (3m^2+5n^2+4mn)(3m^2+5n^2-4mn)

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factor 9m^4+14m^2n^2+25n^4

factor

9 m^{4} + 14 m^{2} n^{2} + 25 n^{4}

(3 m^{2} + 5 n^{2} + 4 mn) (3 m^{2} + 5 n^{2} - 4 mn)

Solution steps

9 m^{4} + 14 m^{2} n^{2} + 25 n^{4}

Add and subtract

16 m^{2} n^{2}

= 9 m^{4} + 30 m^{2} n^{2} + 25 n^{4} - 16 m^{2} n^{2}

Factor

9 m^{4} + 30 m^{2} n^{2} + 25 n^{4} : (3 m^{2} + 5 n^{2})^{2}

= (3 m^{2} + 5 n^{2})^{2} - 16 m^{2} n^{2}

Apply exponent rules

= (3 m^{2} + 5 n^{2})^{2} - (4 mn)^{2}

Factor

(3 m^{2} + 5 n^{2})^{2} - (4 mn)^{2} : (3 m^{2} + 5 n^{2} + 4 mn) (3 m^{2} + 5 n^{2} - 4 mn)

= (3 m^{2} + 5 n^{2} + 4 mn) (3 m^{2} + 5 n^{2} - 4 mn)

\frac{6 y ^{5} + 4 y ^{3} - 10 y ^{2} + 2 y}{2 y}

sin^{2} (q) + cos^{2} (q)

\frac{( 2 - x )}{( x - 2 )}

\frac{( 4 x ^{2} + 10 x )}{( 2 x )}

400 (m^{1})^{0} n^{4} - 280 m^{5} n^{2} y^{3} + 49 y^{6}

What is factor 9m^4+14m^2n^2+25n^4 ?
The solution to factor 9m^4+14m^2n^2+25n^4 is (3m^2+5n^2+4mn)(3m^2+5n^2-4mn)