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Popular >

simplify 2(x+1)^2+3(x+1)-4

Solution

simplify

2 (x + 1)^{2} + 3 (x + 1) - 4

Solution

2 x^{2} + 7 x + 1

Solution steps

2 (x + 1)^{2} + 3 (x + 1) - 4

Expand

2 (x + 1)^{2} : 2 x^{2} + 4 x + 2

= 2 x^{2} + 4 x + 2 + 3 (x + 1) - 4

Expand

3 (x + 1) : 3 x + 3

= 2 x^{2} + 4 x + 2 + 3 x + 3 - 4

Group like terms

= 2 x^{2} + 4 x + 3 x + 2 + 3 - 4

Add similar elements:

4 x + 3 x = 7 x

= 2 x^{2} + 7 x + 2 + 3 - 4

Add the numbers:

2 + 3 - 4 = 1

= 2 x^{2} + 7 x + 1

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Frequently Asked Questions (FAQ)

What is 2(x+1)^2+3(x+1)-4 ?
The solution to 2(x+1)^2+3(x+1)-4 is 2x^2+7x+1