What is expand 2(n^2+1)(dm)/(dn) ?

The solution to expand 2(n^2+1)(dm)/(dn) is 2n^2(dm)/(dn)+2(dm)/(dn)

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expand 2(n^2+1)(dm)/(dn)

expand

2 (n^{2} + 1) \frac{d m}{d n}

2 n^{2} \frac{d m}{d n} + 2 \frac{d m}{d n}

Solution steps

2 (n^{2} + 1) \frac{d m}{d n}

Apply the distributive law:

a (b + c) = ab + a c

a = 2 \frac{d m}{d n}, b = n^{2}, c = 1

= 2 \frac{d m}{d n} n^{2} + 2 \frac{d m}{d n} 1

= 2 n^{2} \frac{d m}{d n} + 2 \cdot 1 \frac{d m}{d n}

Multiply the numbers:

2 \cdot 1 = 2

= 2 n^{2} \frac{d m}{d n} + 2 \frac{d m}{d n}

(2, 0, - 1) \cdot (1, - 2, 4)^{'}

(\frac{600 ( 520 - x )}{( x )}) - 345

+ 1 - (x + 4 y^{2}) \cdot d y + d y d x

(3 e^{2} + 5 y) (2 e^{3} + 8 z)

\frac{d}{d x} ((2 - x) e^{x}) + 2 - x

What is expand 2(n^2+1)(dm)/(dn) ?
The solution to expand 2(n^2+1)(dm)/(dn) is 2n^2(dm)/(dn)+2(dm)/(dn)