What is (x+1)(x+3)-(x-2)^2 ?

The solution to (x+1)(x+3)-(x-2)^2 is 8x-1

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simplify (x+1)(x+3)-(x-2)^2

simplify

(x + 1) (x + 3) - (x - 2)^{2}

8 x - 1

Solution steps

(x + 1) (x + 3) - (x - 2)^{2}

Expand

(x + 1) (x + 3) : x^{2} + 4 x + 3

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

Expand

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

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

Group like terms

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

Add similar elements:

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

= 4 x + 4 x + 3 - 4

Add similar elements:

4 x + 4 x = 8 x

= 8 x + 3 - 4

Subtract the numbers:

3 - 4 = - 1

= 8 x - 1

512 - 27 a^{9}

- \frac{8}{9}

11.5 - 5 \frac{1}{2}

\frac{7}{7}