What is 2a-[5a(a-b)-2b(3b-a)] ?

The solution to 2a-[5a(a-b)-2b(3b-a)] is 2a-5a^2+3ab+6b^2

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simplify 2a-[5a(a-b)-2b(3b-a)]

simplify

2 a - [5 a (a - b) - 2 b (3 b - a)]

2 a - 5 a^{2} + 3 ab + 6 b^{2}

Solution steps

2 a - (5 a (a - b) - 2 b (3 b - a))

Expand

5 a (a - b) - 2 b (3 b - a) : 5 a^{2} - 3 ab - 6 b^{2}

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

Apply the distributive law:

- (a - b) = - a + b

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

= 2 a - 5 a^{2} + 3 ab + 6 b^{2}

\frac{9}{5} \cdot \frac{5}{9}

(1 + 3)^{3}

(x - 11) (x - 11)

1 - p^{2} - p^{3} q + pq

(a b^{2} c^{3})^{0}

What is 2a-[5a(a-b)-2b(3b-a)] ?
The solution to 2a-[5a(a-b)-2b(3b-a)] is 2a-5a^2+3ab+6b^2