What is (x+2)(x+3)+(x-1)(x-3)-x-9 ?

The solution to (x+2)(x+3)+(x-1)(x-3)-x-9 is 2x^2

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simplify (x+2)(x+3)+(x-1)(x-3)-x-9

simplify

(x + 2) (x + 3) + (x - 1) (x - 3) - x - 9

2 x^{2}

Solution steps

(x + 2) (x + 3) + (x - 1) (x - 3) - x - 9

Expand

(x + 2) (x + 3) : x^{2} + 5 x + 6

= x^{2} + 5 x + 6 + (x - 1) (x - 3) - x - 9

Expand

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

= x^{2} + 5 x + 6 + x^{2} - 4 x + 3 - x - 9

Group like terms

= x^{2} + x^{2} + 5 x - 4 x - x + 6 + 3 - 9

Add similar elements:

x^{2} + x^{2} = 2 x^{2}

= 2 x^{2} + 5 x - 4 x - x + 6 + 3 - 9

Add similar elements:

5 x - 4 x - x = 0

= 2 x^{2} + 6 + 3 - 9

Add the numbers:

6 + 3 - 9 = 0

= 2 x^{2}

12 5^{\frac{1}{3}} x

2 \cdot 3 \cdot 3

1.0 3^{6}

(x - 3)^{10}

1.7

What is (x+2)(x+3)+(x-1)(x-3)-x-9 ?
The solution to (x+2)(x+3)+(x-1)(x-3)-x-9 is 2x^2