What is 4b(5b-3)-2(b^2-7b-4) ?

The solution to 4b(5b-3)-2(b^2-7b-4) is 18b^2+2b+8

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simplify 4b(5b-3)-2(b^2-7b-4)

simplify

4 b (5 b - 3) - 2 (b^{2} - 7 b - 4)

18 b^{2} + 2 b + 8

Solution steps

4 b (5 b - 3) - 2 (b^{2} - 7 b - 4)

Expand

4 b (5 b - 3) : 20 b^{2} - 12 b

= 20 b^{2} - 12 b - 2 (b^{2} - 7 b - 4)

Expand

- 2 (b^{2} - 7 b - 4) : - 2 b^{2} + 14 b + 8

= 20 b^{2} - 12 b - 2 b^{2} + 14 b + 8

Group like terms

= 20 b^{2} - 2 b^{2} - 12 b + 14 b + 8

Add similar elements:

20 b^{2} - 2 b^{2} = 18 b^{2}

= 18 b^{2} - 12 b + 14 b + 8

Add similar elements:

- 12 b + 14 b = 2 b

= 18 b^{2} + 2 b + 8

n + 5 > - 3

216 x^{3} + 125 y^{3}

\frac{2 x - 1}{x + 1} = 3

2 x^{2} + 4 x + 3 \geq x^{2} - 2 x - 5

What is 4b(5b-3)-2(b^2-7b-4) ?
The solution to 4b(5b-3)-2(b^2-7b-4) is 18b^2+2b+8