What is factor 9m^6+16n^{10}+24m^3n^5 ?

The solution to factor 9m^6+16n^{10}+24m^3n^5 is (3m^3+4n^5)^2

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factor 9m^6+16n^{10}+24m^3n^5

factor

9 m^{6} + 16 n^{10} + 24 m^{3} n^{5}

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

Solution steps

9 m^{6} + 16 n^{10} + 24 m^{3} n^{5}

Group by common factors

= 9 m^{6} + 24 m^{3} n^{5} + 16 n^{10}

Break the expression into groups

= (9 m^{6} + 12 m^{3} n^{5}) + (12 m^{3} n^{5} + 16 n^{10})

Factor out

3 m^{3}

from

9 m^{6} + 12 m^{3} n^{5} : 3 m^{3} (3 m^{3} + 4 n^{5})

Factor out

4 n^{5}

from

12 m^{3} n^{5} + 16 n^{10} : 4 n^{5} (3 m^{3} + 4 n^{5})

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

Factor out common term

3 m^{3} + 4 n^{5}

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

Apply exponent rule:

aa = a^{2}

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

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

\frac{( n - 3 ) !}{( n - 5 ) !}

(14.2 a + 9.8 b) - (13.1 b - 0.2 a) - (3.7 a + 4.8 b)

(2 x + z)^{3}

x^{3} - 33 \cdot y^{3}

(\frac{1}{5 x})^{2}

What is factor 9m^6+16n^{10}+24m^3n^5 ?
The solution to factor 9m^6+16n^{10}+24m^3n^5 is (3m^3+4n^5)^2