What is 2(12y^2-8y+6)-4(3y^2-4y+2) ?

The solution to 2(12y^2-8y+6)-4(3y^2-4y+2) is 12y^2+4

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simplify 2(12y^2-8y+6)-4(3y^2-4y+2)

simplify

2 (12 y^{2} - 8 y + 6) - 4 (3 y^{2} - 4 y + 2)

12 y^{2} + 4

Solution steps

2 (12 y^{2} - 8 y + 6) - 4 (3 y^{2} - 4 y + 2)

Expand

2 (12 y^{2} - 8 y + 6) : 24 y^{2} - 16 y + 12

= 24 y^{2} - 16 y + 12 - 4 (3 y^{2} - 4 y + 2)

Expand

- 4 (3 y^{2} - 4 y + 2) : - 12 y^{2} + 16 y - 8

= 24 y^{2} - 16 y + 12 - 12 y^{2} + 16 y - 8

Group like terms

= 24 y^{2} - 12 y^{2} - 16 y + 16 y + 12 - 8

Add similar elements:

24 y^{2} - 12 y^{2} = 12 y^{2}

= 12 y^{2} - 16 y + 16 y + 12 - 8

Add similar elements:

- 16 y + 16 y = 0

= 12 y^{2} + 12 - 8

Subtract the numbers:

12 - 8 = 4

= 12 y^{2} + 4

(2 x^{2} - 5 y) (4 x + 2 y^{2})

(6 x)^{3}

\frac{1}{100} - x^{2 n}

What is 2(12y^2-8y+6)-4(3y^2-4y+2) ?
The solution to 2(12y^2-8y+6)-4(3y^2-4y+2) is 12y^2+4