What is expand 4(y^2-1)dx ?

The solution to expand 4(y^2-1)dx is 4y^2dx-4dx

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expand 4(y^2-1)dx

expand

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

4 y^{2} d x - 4 d x

Solution steps

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

Apply the distributive law:

a (b - c) = ab - a c

a = 4 d x, b = y^{2}, c = 1

= 4 d x y^{2} - 4 d x \cdot 1

= 4 y^{2} d x - 4 \cdot 1 \cdot d x

Multiply the numbers:

4 \cdot 1 = 4

= 4 y^{2} d x - 4 d x

(x + 3) e

(x - 4 y - 3) d x - (x - 6 y - 5) d y

((x) = \frac{3}{2} x + 1) (- 3)

\frac{d y}{y ( 1 + 3 y + 2 y ^{3} )}

\frac{2 x + 2 ( 3 + a ) ^{2}}{y - 1}