What is factor m^2+14mn^2+49n^4 ?

The solution to factor m^2+14mn^2+49n^4 is (m+7n^2)^2

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factor m^2+14mn^2+49n^4

factor

m^{2} + 14 m n^{2} + 49 n^{4}

(m + 7 n^{2})^{2}

Solution steps

m^{2} + 14 m n^{2} + 49 n^{4}

Break the expression into groups

= (m^{2} + 7 m n^{2}) + (7 m n^{2} + 49 n^{4})

Factor out

m

from

m^{2} + 7 m n^{2} : m (m + 7 n^{2})

Factor out

7 n^{2}

from

7 m n^{2} + 49 n^{4} : 7 n^{2} (m + 7 n^{2})

= m (m + 7 n^{2}) + 7 n^{2} (m + 7 n^{2})

Factor out common term

m + 7 n^{2}

= (m + 7 n^{2}) (m + 7 n^{2})

Apply exponent rule:

aa = a^{2}

(m + 7 n^{2}) (m + 7 n^{2}) = (m + 7 n^{2})^{2}

= (m + 7 n^{2})^{2}

∣ x + 6 ∣ = - 3

2 t - 4 < - 6

15 - 6

14 x + 49

6 < 3 x + x - 2 < 14

What is factor m^2+14mn^2+49n^4 ?
The solution to factor m^2+14mn^2+49n^4 is (m+7n^2)^2