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Popular >

simplify (x+2)^2+4(x+2)+3

Solution

simplify

(x + 2)^{2} + 4 (x + 2) + 3

Solution

x^{2} + 8 x + 15

Solution steps

(x + 2)^{2} + 4 (x + 2) + 3

Expand

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

= x^{2} + 4 x + 4 + 4 (x + 2) + 3

Expand

4 (x + 2) : 4 x + 8

= x^{2} + 4 x + 4 + 4 x + 8 + 3

Group like terms

= x^{2} + 4 x + 4 x + 4 + 8 + 3

Add similar elements:

4 x + 4 x = 8 x

= x^{2} + 8 x + 4 + 8 + 3

Add the numbers:

4 + 8 + 3 = 15

= x^{2} + 8 x + 15

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Frequently Asked Questions (FAQ)

What is (x+2)^2+4(x+2)+3 ?
The solution to (x+2)^2+4(x+2)+3 is x^2+8x+15