What is factor 9m^2n^2+42mn+49 ?

The solution to factor 9m^2n^2+42mn+49 is (3mn+7)^2

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factor 9m^2n^2+42mn+49

factor

9 m^{2} n^{2} + 42 mn + 49

(3 mn + 7)^{2}

Solution steps

9 m^{2} n^{2} + 42 mn + 49

Rewrite in the form of

a^{2} + 2 ab + b^{2} :

9 m^{2} n^{2} = (3 mn)^{2}

49 = 7^{2}

42 mn = 2 \cdot 3 mn \cdot 7

= (3 mn)^{2} + 2 \cdot 3 mn \cdot 7 + 7^{2}

Apply Perfect Square Formula:

a^{2} + 2 ab + b^{2} = (a + b)^{2}

(3 mn)^{2} + 2 \cdot 3 mn \cdot 7 + 7^{2} = (3 mn + 7)^{2}

= (3 mn + 7)^{2}

(2 m - 1)^{4}

2^{3 - 1}

144 a^{2} - 100 b^{2}

\frac{\frac{x + 4}{x}}{\frac{x ^{2} + 9 x + 20}{x ^{2} + 7 x + 10}}

x^{4} - 12 x^{3} + 48 x^{2} - 64 x

What is factor 9m^2n^2+42mn+49 ?
The solution to factor 9m^2n^2+42mn+49 is (3mn+7)^2