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Popular >

simplify 6(x-2)^2-7(x-2)

Solution

simplify

6 (x - 2)^{2} - 7 (x - 2)

Solution

6 x^{2} - 31 x + 38

Solution steps

6 (x - 2)^{2} - 7 (x - 2)

Expand

6 (x - 2)^{2} : 6 x^{2} - 24 x + 24

= 6 x^{2} - 24 x + 24 - 7 (x - 2)

Expand

- 7 (x - 2) : - 7 x + 14

= 6 x^{2} - 24 x + 24 - 7 x + 14

Group like terms

= 6 x^{2} - 24 x - 7 x + 24 + 14

Add similar elements:

- 24 x - 7 x = - 31 x

= 6 x^{2} - 31 x + 24 + 14

Add the numbers:

24 + 14 = 38

= 6 x^{2} - 31 x + 38

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Frequently Asked Questions (FAQ)

What is 6(x-2)^2-7(x-2) ?
The solution to 6(x-2)^2-7(x-2) is 6x^2-31x+38