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

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

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

simplify

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

a^{2} - 5 ab

Solution steps

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

Expand

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

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

Expand

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

= 3 a^{2} - 3 ab - 2 a^{2} - 2 ab

Group like terms

= 3 a^{2} - 2 a^{2} - 3 ab - 2 ab

Add similar elements:

3 a^{2} - 2 a^{2} = a^{2}

= a^{2} - 3 ab - 2 ab

Add similar elements:

- 3 ab - 2 ab = - 5 ab

= a^{2} - 5 ab

(3 x - 1)^{2} - 9 x - 7

sin^{4} (a) + sin^{2} (a) cos^{2} (a) - sin^{2} (a)

d (\frac{x ^{6}}{3 - 2 x})

cos (x) - 2 cos^{2} (x) + 1

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