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Popular >

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

Solution

simplify

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

Solution

x^{2} + 21 x + 96

Solution steps

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

Expand

(x + 7)^{2} : x^{2} + 14 x + 49

= x^{2} + 14 x + 49 + 7 (x + 7) - 2

Expand

7 (x + 7) : 7 x + 49

= x^{2} + 14 x + 49 + 7 x + 49 - 2

Group like terms

= x^{2} + 14 x + 7 x + 49 + 49 - 2

Add similar elements:

14 x + 7 x = 21 x

= x^{2} + 21 x + 49 + 49 - 2

Add the numbers:

49 + 49 - 2 = 96

= x^{2} + 21 x + 96

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Frequently Asked Questions (FAQ)

What is (x+7)^2+7(x+7)-2 ?
The solution to (x+7)^2+7(x+7)-2 is x^2+21x+96