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Popular >

expand (x+Δx+1)(x+1)

Solution

expand

(x + Δ x + 1) (x + 1)

Solution

Δ x^{2} + Δ x + x^{2} + 2 x + 1

Solution steps

(x + Δ x + 1) (x + 1)

Distribute parentheses

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

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

Simplify

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

= Δ x^{2} + Δ x + x^{2} + 2 x + 1

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Frequently Asked Questions (FAQ)

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