What is 2(a+b)+5(-a+2b) ?

The solution to 2(a+b)+5(-a+2b) is -3a+12b

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simplify 2(a+b)+5(-a+2b)

simplify

2 (a + b) + 5 (- a + 2 b)

- 3 a + 12 b

Solution steps

2 (a + b) + 5 (- a + 2 b)

Expand

2 (a + b) : 2 a + 2 b

= 2 a + 2 b + 5 (- a + 2 b)

Expand

5 (- a + 2 b) : - 5 a + 10 b

= 2 a + 2 b - 5 a + 10 b

Group like terms

= 2 a - 5 a + 2 b + 10 b

Add similar elements:

2 a - 5 a = - 3 a

= - 3 a + 2 b + 10 b

Add similar elements:

2 b + 10 b = 12 b

= - 3 a + 12 b

(2 x - 5 y)^{3} - (2 x + 5 y)^{3}

2 x \cdot 5. 5^{2}

x^{1} + x^{2} + x^{3}

(2 x + 5)^{6}

x^{4} + 324