What is (3x+2)^2-(3x-1)^2-3(2x+1) ?

The solution to (3x+2)^2-(3x-1)^2-3(2x+1) is 12x

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

simplify

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

12 x

Solution steps

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

Expand

(3 x + 2)^{2} : 9 x^{2} + 12 x + 4

= 9 x^{2} + 12 x + 4 - (3 x - 1)^{2} - 3 (2 x + 1)

Expand

- (3 x - 1)^{2} : - 9 x^{2} + 6 x - 1

= 9 x^{2} + 12 x + 4 - 9 x^{2} + 6 x - 1 - 3 (2 x + 1)

Expand

- 3 (2 x + 1) : - 6 x - 3

= 9 x^{2} + 12 x + 4 - 9 x^{2} + 6 x - 1 - 6 x - 3

Group like terms

= 9 x^{2} - 9 x^{2} + 12 x + 6 x - 6 x + 4 - 1 - 3

Add similar elements:

9 x^{2} - 9 x^{2} = 0

= 12 x + 6 x - 6 x + 4 - 1 - 3

Add similar elements:

12 x + 6 x - 6 x = 12 x

= 12 x + 4 - 1 - 3

Subtract the numbers:

4 - 1 - 3 = 0

= 12 x

(\frac{15}{10 t - 8}) 2

8 x^{2} - 10 x^{4} - 0.342 + 16 x + 114 - 10

3 m^{2} + 5 m + 6 m^{2} + m

(m + 4) (m - 10)

(3 x^{2} - 7) (3 x^{2} - 8)

What is (3x+2)^2-(3x-1)^2-3(2x+1) ?
The solution to (3x+2)^2-(3x-1)^2-3(2x+1) is 12x