What is (3x-1)^2-(2x+1)^2-5x(x-3) ?

The solution to (3x-1)^2-(2x+1)^2-5x(x-3) is 5x

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simplify (3x-1)^2-(2x+1)^2-5x(x-3)

simplify

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

5 x

Solution steps

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

Expand

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

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

Expand

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

= 9 x^{2} - 6 x + 1 - 4 x^{2} - 4 x - 1 - 5 x (x - 3)

Expand

- 5 x (x - 3) : - 5 x^{2} + 15 x

= 9 x^{2} - 6 x + 1 - 4 x^{2} - 4 x - 1 - 5 x^{2} + 15 x

Group like terms

= 9 x^{2} - 4 x^{2} - 5 x^{2} - 6 x - 4 x + 15 x + 1 - 1

Add similar elements:

9 x^{2} - 4 x^{2} - 5 x^{2} = 0

= - 6 x - 4 x + 15 x + 1 - 1

Add similar elements:

- 6 x - 4 x + 15 x = 5 x

= 5 x + 1 - 1

Subtract the numbers:

1 - 1 = 0

= 5 x

a^{- 3} \cdot a^{5}

(a + b) (a - b) - (a - b) (a - b)

- 8 + 16

+ 2 - 4

+ 4 - 4

What is (3x-1)^2-(2x+1)^2-5x(x-3) ?
The solution to (3x-1)^2-(2x+1)^2-5x(x-3) is 5x