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Popular >

expand (x+Δx)(x-2)

Solution

expand

(x + Δ x) (x - 2)

Solution

x^{2} - 2 x + Δ x^{2} - 2Δ x

Solution steps

(x + Δ x) (x - 2)

Apply FOIL method:

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

a = x, b = Δ x, c = x, d = - 2

= xx + x (- 2) + Δ xx + Δ x (- 2)

Apply minus-plus rules

+ (- a) = - a

= xx - 2 x + Δ xx - 2Δ x

Simplify

xx - 2 x + Δ xx - 2Δ x : x^{2} - 2 x + Δ x^{2} - 2Δ x

= x^{2} - 2 x + Δ x^{2} - 2Δ x

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Frequently Asked Questions (FAQ)

What is expand (x+Δx)(x-2) ?
The solution to expand (x+Δx)(x-2) is x^2-2x+Δx^2-2Δx