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

The solution to (2x+3)^2-3(2x+3)+1 is 4x^2+6x+1

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

simplify

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

4 x^{2} + 6 x + 1

Solution steps

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

Expand

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

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

Expand

- 3 (2 x + 3) : - 6 x - 9

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

Group like terms

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

Add similar elements:

12 x - 6 x = 6 x

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

Add the numbers:

9 - 9 + 1 = 1

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

(a b^{3})^{3}

1.5 \cdot 1 0^{6}

9 r (r + 2 s - 9)

3 - 3