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Popular >

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

Solution

simplify

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

Solution

3 x^{2} + 8 x + 1

Solution steps

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

Expand

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

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

Expand

2 (x + 1) : 2 x + 2

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

Group like terms

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

Add similar elements:

6 x + 2 x = 8 x

= 3 x^{2} + 8 x + 3 + 2 - 4

Add the numbers:

3 + 2 - 4 = 1

= 3 x^{2} + 8 x + 1

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Frequently Asked Questions (FAQ)

What is 3(x+1)^2+2(x+1)-4 ?
The solution to 3(x+1)^2+2(x+1)-4 is 3x^2+8x+1