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Popular >

expand (3x-1)(x+dx)

Solution

expand

(3 x - 1) (x + d x)

Solution

3 x^{2} + 3 x d x - x - d x

Solution steps

(3 x - 1) (x + d x)

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

a = 3 x, b = - 1, c = x, d = d x

= 3 xx + 3 x d x + (- 1) x + (- 1) d x

Apply minus-plus rules

+ (- a) = - a

= 3 xx + 3 x d x - 1 \cdot x - 1 \cdot d x

Simplify

3 xx + 3 x d x - 1 \cdot x - 1 \cdot d x : 3 x^{2} + 3 x d x - x - d x

= 3 x^{2} + 3 x d x - x - d x

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Frequently Asked Questions (FAQ)

What is expand (3x-1)(x+dx) ?
The solution to expand (3x-1)(x+dx) is 3x^2+3xdx-x-dx