What is expand 2c(4xy^3(dy)/(dx)+y^4) ?

The solution to expand 2c(4xy^3(dy)/(dx)+y^4) is 8cxy^3(dy)/(dx)+2cy(x)^4

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expand 2c(4xy^3(dy)/(dx)+y^4)

expand

2 c (4 x y^{3} \frac{d y}{d x} + y^{4})

8 c x y^{3} \frac{d y}{d x} + 2 cy (x)^{4}

Solution steps

2 c (4 x y^{3} \frac{d y}{d x} + y^{4})

Apply the distributive law:

a (b + c) = ab + a c

a = 2 c, b = 4 x y^{3} \frac{d y}{d x}, c = y^{4}

= 2 c \cdot 4 x y^{3} \frac{d y}{d x} + 2 cy (x)^{4}

= 2 \cdot 4 c x y^{3} \frac{d y}{d x} + 2 cy (x)^{4}

Multiply the numbers:

2 \cdot 4 = 8

= 8 c x y^{3} \frac{d y}{d x} + 2 cy (x)^{4}

\frac{( x ^{4} - 3 x + 5 )}{( x - 1 ) R x ^{3} + x ^{2} + x - 2}

\frac{1}{( x ^{2} + a ^{2} ) ^{2}}

3 x (x = - 1)

a^{6} - b^{6} - 3 a^{2} b^{2} (a + b) (a - b)

What is expand 2c(4xy^3(dy)/(dx)+y^4) ?
The solution to expand 2c(4xy^3(dy)/(dx)+y^4) is 8cxy^3(dy)/(dx)+2cy(x)^4