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Popular >

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

Solution

simplify

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

Solution

3 x^{2} + 2 x

Solution steps

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

Expand

3 (x + 1)^{2} : 3 x^{2} + 6 x + 3

= 3 x^{2} + 6 x + 3 - 4 (x + 1) + 1

Expand

- 4 (x + 1) : - 4 x - 4

= 3 x^{2} + 6 x + 3 - 4 x - 4 + 1

Group like terms

= 3 x^{2} + 6 x - 4 x + 3 - 4 + 1

Add similar elements:

6 x - 4 x = 2 x

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

Add the numbers:

3 - 4 + 1 = 0

= 3 x^{2} + 2 x

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Frequently Asked Questions (FAQ)

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