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Popular >

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

Solution

simplify

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

Solution

x^{2} - 3 x - 4

Solution steps

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

Expand

(x + 2)^{2} : x^{2} + 4 x + 4

= x^{2} + 4 x + 4 - 7 (x + 2) + 6

Expand

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

= x^{2} + 4 x + 4 - 7 x - 14 + 6

Group like terms

= x^{2} + 4 x - 7 x + 4 - 14 + 6

Add similar elements:

4 x - 7 x = - 3 x

= x^{2} - 3 x + 4 - 14 + 6

Add the numbers:

4 - 14 + 6 = - 4

= x^{2} - 3 x - 4

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Frequently Asked Questions (FAQ)

What is (x+2)^2-7(x+2)+6 ?
The solution to (x+2)^2-7(x+2)+6 is x^2-3x-4