Question

Simplify 3×+1(2×-1)2-1(6×)​

Answer 1

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Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

Answer =
`\boxed {x - 2}`

`3x +1(2x-1)2-1(6x)`

=
`\boxed {3x + 1 . ( 2x - 1 ) . 2 - 1 (6x) = x - 2}`

Steps :

`3x + 1 . (2x - 1) . 2 - 1 . (6x)`

Remove the parentheses :
`(a) = a`

`= 3x + 1 * (2x- 1) * 2 - 1 * 6x`

Multiply the numbers :
`1 * 2 = 2`

`= 3x + 2 ( 2x - 1 ) * 6x`

Multiply the numbers :
`1 * 6 = 6`

`= 3x + 2 ( 2x - 1 ) -6x`

Expand:
`2 (2x - 1) : 4x - 2`

`2 ( 2x - 1 )`

Apply the distributive law :
`a (b - c) = ab - ac`

`a = 2, b = 2x, c = 1 \\= 2 * 2x - 2 * 1`

Simplify
`2 * 2x - 2 * 1 : 4x - 2`

=
`= 4x - 2`

`= 3x + 4x - 2 - 6x`

Simplify
`3x + 4x - 2 - 6x : x - 2`

=
`x - 2`

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

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Have a great day/night!

❀*May*❀