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Popular >

expand (x-1)(2x+2Δx)

Solution

expand

(x - 1) (2 x + 2Δ x)

Solution

2 x^{2} + 2Δ x^{2} - 2 x - 2Δ x

Solution steps

(x - 1) (2 x + 2Δ x)

Apply FOIL method:

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

a = x, b = - 1, c = 2 x, d = 2Δ x

= x \cdot 2 x + x \cdot 2Δ x + (- 1) \cdot 2 x + (- 1) \cdot 2Δ x

Apply minus-plus rules

+ (- a) = - a

= 2 xx + 2Δ xx - 1 \cdot 2 x - 1 \cdot 2Δ x

Simplify

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

= 2 x^{2} + 2Δ x^{2} - 2 x - 2Δ x

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Frequently Asked Questions (FAQ)

What is expand (x-1)(2x+2Δx) ?
The solution to expand (x-1)(2x+2Δx) is 2x^2+2Δx^2-2x-2Δx