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Popular >

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

Solution

simplify

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

Solution

2 x^{2} - 22 x + 56

Solution steps

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

Expand

2 (x - 4)^{2} : 2 x^{2} - 16 x + 32

= 2 x^{2} - 16 x + 32 - 6 (x - 4)

Expand

- 6 (x - 4) : - 6 x + 24

= 2 x^{2} - 16 x + 32 - 6 x + 24

Group like terms

= 2 x^{2} - 16 x - 6 x + 32 + 24

Add similar elements:

- 16 x - 6 x = - 22 x

= 2 x^{2} - 22 x + 32 + 24

Add the numbers:

32 + 24 = 56

= 2 x^{2} - 22 x + 56

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Frequently Asked Questions (FAQ)

What is 2(x-4)^2-6(x-4) ?
The solution to 2(x-4)^2-6(x-4) is 2x^2-22x+56