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

The solution to (2x+3)^2-2(2x+3)+2 is 4x^2+8x+5

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

simplify

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

4 x^{2} + 8 x + 5

Solution steps

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

Expand

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

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

Expand

- 2 (2 x + 3) : - 4 x - 6

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

Group like terms

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

Add similar elements:

12 x - 4 x = 8 x

= 4 x^{2} + 8 x + 9 - 6 + 2

Add the numbers:

9 - 6 + 2 = 5

= 4 x^{2} + 8 x + 5

(3 x yz)^{0}

49 - 7

3 a + a

0.2 5^{- 1}

3 \frac{1}{2} \div 2