What is (x+3)(x+6)-(x-3)(x-6) ?

The solution to (x+3)(x+6)-(x-3)(x-6) is 18x

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simplify (x+3)(x+6)-(x-3)(x-6)

simplify

(x + 3) (x + 6) - (x - 3) (x - 6)

18 x

Solution steps

(x + 3) (x + 6) - (x - 3) (x - 6)

Expand

(x + 3) (x + 6) : x^{2} + 9 x + 18

= x^{2} + 9 x + 18 - (x - 3) (x - 6)

Expand

- (x - 3) (x - 6) : - x^{2} + 9 x - 18

= x^{2} + 9 x + 18 - x^{2} + 9 x - 18

Group like terms

= x^{2} - x^{2} + 9 x + 9 x + 18 - 18

Add similar elements:

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

= 9 x + 9 x + 18 - 18

Add similar elements:

9 x + 9 x = 18 x

= 18 x + 18 - 18

Subtract the numbers:

18 - 18 = 0

= 18 x

(6 a + 3)^{3}

(a^{3})^{5}

15 x^{2} y - 10 x y

1 - x^{9}

(x - 20)^{3}