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Popular >

simplify (x+1)^2+2(x+1)

Solution

simplify

(x + 1)^{2} + 2 (x + 1)

Solution

x^{2} + 4 x + 3

Solution steps

(x + 1)^{2} + 2 (x + 1)

Expand

(x + 1)^{2} : x^{2} + 2 x + 1

= x^{2} + 2 x + 1 + 2 (x + 1)

Expand

2 (x + 1) : 2 x + 2

= x^{2} + 2 x + 1 + 2 x + 2

Group like terms

= x^{2} + 2 x + 2 x + 1 + 2

Add similar elements:

2 x + 2 x = 4 x

= x^{2} + 4 x + 1 + 2

Add the numbers:

1 + 2 = 3

= x^{2} + 4 x + 3

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Frequently Asked Questions (FAQ)

What is (x+1)^2+2(x+1) ?
The solution to (x+1)^2+2(x+1) is x^2+4x+3