What is expand 8(y-c)(dy)/(dx) ?

The solution to expand 8(y-c)(dy)/(dx) is 8(dy)/(dx)y-8c(dy)/(dx)

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expand 8(y-c)(dy)/(dx)

expand

8 (y - c) \frac{d y}{d x}

8 \frac{d y}{d x} y - 8 c \frac{d y}{d x}

Solution steps

8 (y - c) \frac{d y}{d x}

Apply the distributive law:

a (b - c) = ab - a c

a = 8 \frac{d y}{d x}, b = y, c = c

= 8 \frac{d y}{d x} y - 8 \frac{d y}{d x} c

= 8 \frac{d y}{d x} y - 8 c \frac{d y}{d x}

e^{y} y (5 ln (5) - 5)

e^{2 t} \cdot (3 t + 6)

\frac{[ ( x + h ) ^{3} x ] - x ^{3} - x}{h}

A (s^{2} + 2 s + 5)^{2}

(i - 3) ln (- 4 i + 2)

What is expand 8(y-c)(dy)/(dx) ?
The solution to expand 8(y-c)(dy)/(dx) is 8(dy)/(dx)y-8c(dy)/(dx)