What is simplify-(a+b)-3[2a+b(-a+2)] ?

The solution to simplify-(a+b)-3[2a+b(-a+2)] is -7a-7b+3ab

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simplify-(a+b)-3[2a+b(-a+2)]

simplify

- (a + b) - 3 [2 a + b (- a + 2)]

- 7 a - 7 b + 3 ab

Solution steps

- (a + b) - 3 (2 a + b (- a + 2))

Apply the distributive law:

- (a + b) = - a - b

- (a + b) = - a - b

= - a - b - 3 (2 a + b (- a + 2))

Expand

- 3 (2 a + b (- a + 2)) : - 6 a + 3 ab - 6 b

= - a - b - 6 a + 3 ab - 6 b

Group like terms

= - a - 6 a - b - 6 b + 3 ab

Add similar elements:

- a - 6 a = - 7 a

= - 7 a - b - 6 b + 3 ab

Add similar elements:

- b - 6 b = - 7 b

= - 7 a - 7 b + 3 ab

17 \cdot 17

\frac{5}{2 + 5}

5 x 1 0^{3}

\frac{1}{1 0 ^{- 9}}

lo g_{22} (64)

What is simplify-(a+b)-3[2a+b(-a+2)] ?
The solution to simplify-(a+b)-3[2a+b(-a+2)] is -7a-7b+3ab