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

The solution to (5x-1)^2-(5x+1)(5x-1) is -10x+2

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

simplify

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

- 10 x + 2

Solution steps

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

Expand

(5 x - 1)^{2} : 25 x^{2} - 10 x + 1

= 25 x^{2} - 10 x + 1 - (5 x + 1) (5 x - 1)

Expand

- (5 x + 1) (5 x - 1) : - 25 x^{2} + 1

= 25 x^{2} - 10 x + 1 - 25 x^{2} + 1

Group like terms

= 25 x^{2} - 25 x^{2} - 10 x + 1 + 1

Add similar elements:

25 x^{2} - 25 x^{2} = 0

= - 10 x + 1 + 1

Add the numbers:

1 + 1 = 2

= - 10 x + 2

\frac{50}{3}

56 \cdot 36

- 3 \cdot (- 10)

\frac{1}{5} \cdot \frac{3}{7}

\frac{x ^{3}}{4 x ^{5}}