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Popular >

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

Solution

simplify

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

Solution

6 x + 13

Solution steps

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

Expand

(x + 3)^{2} : x^{2} + 6 x + 9

= x^{2} + 6 x + 9 - (x + 2) (x - 2)

Expand

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

= x^{2} + 6 x + 9 - x^{2} + 4

Group like terms

= x^{2} - x^{2} + 6 x + 9 + 4

Add similar elements:

x^{2} - x^{2} = 0

= 6 x + 9 + 4

Add the numbers:

9 + 4 = 13

= 6 x + 13

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Frequently Asked Questions (FAQ)

What is (x+3)^2-(x+2)(x-2) ?
The solution to (x+3)^2-(x+2)(x-2) is 6x+13