What is (2a-3b)4b-3a(a-2b) ?

The solution to (2a-3b)4b-3a(a-2b) is 14ab-12b^2-3a^2

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simplify (2a-3b)4b-3a(a-2b)

simplify

(2 a - 3 b) 4 b - 3 a (a - 2 b)

14 ab - 12 b^{2} - 3 a^{2}

Solution steps

(2 a - 3 b) \cdot 4 b - 3 a (a - 2 b)

= 4 b (2 a - 3 b) - 3 a (a - 2 b)

Expand

4 b (2 a - 3 b) : 8 ab - 12 b^{2}

= 8 ab - 12 b^{2} - 3 a (a - 2 b)

Expand

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

= 8 ab - 12 b^{2} - 3 a^{2} + 6 ab

Group like terms

= 8 ab + 6 ab - 12 b^{2} - 3 a^{2}

Add similar elements:

8 ab + 6 ab = 14 ab

= 14 ab - 12 b^{2} - 3 a^{2}

3 a^{2} - 4 ab - 20 b^{2}

4 c^{2} - 9 d^{2}

\frac{r}{2} > 2

\frac{7 ^{2}}{7 ^{2} - 4} - \frac{1}{7 - 2}

\frac{4}{17} x = 16

What is (2a-3b)4b-3a(a-2b) ?
The solution to (2a-3b)4b-3a(a-2b) is 14ab-12b^2-3a^2