What is 2(x^2-4)-2(6x^2+2) ?

The solution to 2(x^2-4)-2(6x^2+2) is -10x^2-12

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simplify 2(x^2-4)-2(6x^2+2)

simplify

2 (x^{2} - 4) - 2 (6 x^{2} + 2)

- 10 x^{2} - 12

Solution steps

2 (x^{2} - 4) - 2 (6 x^{2} + 2)

Expand

2 (x^{2} - 4) : 2 x^{2} - 8

= 2 x^{2} - 8 - 2 (6 x^{2} + 2)

Expand

- 2 (6 x^{2} + 2) : - 12 x^{2} - 4

= 2 x^{2} - 8 - 12 x^{2} - 4

Group like terms

= 2 x^{2} - 12 x^{2} - 8 - 4

Add similar elements:

2 x^{2} - 12 x^{2} = - 10 x^{2}

= - 10 x^{2} - 8 - 4

Subtract the numbers:

- 8 - 4 = - 12

= - 10 x^{2} - 12

\frac{x}{3} + \frac{x}{7}

2 x (y + 3 x) - 3 x y - 5 x^{2} + 10 - 6 x

(4 + 32)^{2} (4 - 32)

(m + 8) (2 m^{3} + m^{2} + 3 m)