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Popular >

simplify (x+4)^2-2(x+4)+7

Solution

simplify

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

Solution

x^{2} + 6 x + 15

Solution steps

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

Expand

(x + 4)^{2} : x^{2} + 8 x + 16

= x^{2} + 8 x + 16 - 2 (x + 4) + 7

Expand

- 2 (x + 4) : - 2 x - 8

= x^{2} + 8 x + 16 - 2 x - 8 + 7

Group like terms

= x^{2} + 8 x - 2 x + 16 - 8 + 7

Add similar elements:

8 x - 2 x = 6 x

= x^{2} + 6 x + 16 - 8 + 7

Add the numbers:

16 - 8 + 7 = 15

= x^{2} + 6 x + 15

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Frequently Asked Questions (FAQ)

What is (x+4)^2-2(x+4)+7 ?
The solution to (x+4)^2-2(x+4)+7 is x^2+6x+15