What is (2a+1)^3-2(2a+1)^2+20 ?

The solution to (2a+1)^3-2(2a+1)^2+20 is 8a^3+4a^2-2a+19

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simplify (2a+1)^3-2(2a+1)^2+20

simplify

(2 a + 1)^{3} - 2 (2 a + 1)^{2} + 20

8 a^{3} + 4 a^{2} - 2 a + 19

Solution steps

(2 a + 1)^{3} - 2 (2 a + 1)^{2} + 20

Expand

(2 a + 1)^{3} : 8 a^{3} + 12 a^{2} + 6 a + 1

= 8 a^{3} + 12 a^{2} + 6 a + 1 - 2 (2 a + 1)^{2} + 20

Expand

- 2 (2 a + 1)^{2} : - 8 a^{2} - 8 a - 2

= 8 a^{3} + 12 a^{2} + 6 a + 1 - 8 a^{2} - 8 a - 2 + 20

Group like terms

= 8 a^{3} + 12 a^{2} - 8 a^{2} + 6 a - 8 a + 1 - 2 + 20

Add similar elements:

12 a^{2} - 8 a^{2} = 4 a^{2}

= 8 a^{3} + 4 a^{2} + 6 a - 8 a + 1 - 2 + 20

Add similar elements:

6 a - 8 a = - 2 a

= 8 a^{3} + 4 a^{2} - 2 a + 1 - 2 + 20

Add the numbers:

1 - 2 + 20 = 19

= 8 a^{3} + 4 a^{2} - 2 a + 19

lo g_{10} (2) (32)

\frac{1}{5 + 3 i}

1 - (- 10)

2 x^{11}

- 15 - (- 6)

What is (2a+1)^3-2(2a+1)^2+20 ?
The solution to (2a+1)^3-2(2a+1)^2+20 is 8a^3+4a^2-2a+19