What is simplify-2a(a+b-5)+3(-5a+2b)+b(6a+b-8) ?

The solution to simplify-2a(a+b-5)+3(-5a+2b)+b(6a+b-8) is -2a^2+4ab-5a-2b+b^2

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simplify-2a(a+b-5)+3(-5a+2b)+b(6a+b-8)

simplify

- 2 a (a + b - 5) + 3 (- 5 a + 2 b) + b (6 a + b - 8)

- 2 a^{2} + 4 ab - 5 a - 2 b + b^{2}

Solution steps

- 2 a (a + b - 5) + 3 (- 5 a + 2 b) + b (6 a + b - 8)

Expand

- 2 a (a + b - 5) : - 2 a^{2} - 2 ab + 10 a

= - 2 a^{2} - 2 ab + 10 a + 3 (- 5 a + 2 b) + b (6 a + b - 8)

Expand

3 (- 5 a + 2 b) : - 15 a + 6 b

= - 2 a^{2} - 2 ab + 10 a - 15 a + 6 b + b (6 a + b - 8)

Expand

b (6 a + b - 8) : 6 ab + b^{2} - 8 b

= - 2 a^{2} - 2 ab + 10 a - 15 a + 6 b + 6 ab + b^{2} - 8 b

Add similar elements:

10 a - 15 a = - 5 a

= - 2 a^{2} - 2 ab - 5 a + 6 b + 6 ab + b^{2} - 8 b

Group like terms

= - 2 a^{2} - 2 ab + 6 ab - 5 a + 6 b - 8 b + b^{2}

Add similar elements:

- 2 ab + 6 ab = 4 ab

= - 2 a^{2} + 4 ab - 5 a + 6 b - 8 b + b^{2}

Add similar elements:

6 b - 8 b = - 2 b

= - 2 a^{2} + 4 ab - 5 a - 2 b + b^{2}

40 + 4.5 x = 112

\frac{8 3}{3}

∣ 2 x + 3 ∣ \geq 8

2 π - \frac{5 π}{4}

∣ x + 3 ∣ \leq 5

What is simplify-2a(a+b-5)+3(-5a+2b)+b(6a+b-8) ?
The solution to simplify-2a(a+b-5)+3(-5a+2b)+b(6a+b-8) is -2a^2+4ab-5a-2b+b^2