What is (x-5)^2-(x+5)^2-4(5x-1) ?

The solution to (x-5)^2-(x+5)^2-4(5x-1) is -40x+4

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simplify (x-5)^2-(x+5)^2-4(5x-1)

simplify

(x - 5)^{2} - (x + 5)^{2} - 4 (5 x - 1)

- 40 x + 4

Solution steps

(x - 5)^{2} - (x + 5)^{2} - 4 (5 x - 1)

Expand

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

= x^{2} - 10 x + 25 - (x + 5)^{2} - 4 (5 x - 1)

Expand

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

= x^{2} - 10 x + 25 - x^{2} - 10 x - 25 - 4 (5 x - 1)

Expand

- 4 (5 x - 1) : - 20 x + 4

= x^{2} - 10 x + 25 - x^{2} - 10 x - 25 - 20 x + 4

Group like terms

= x^{2} - x^{2} - 10 x - 10 x - 20 x + 25 - 25 + 4

Add similar elements:

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

= - 10 x - 10 x - 20 x + 25 - 25 + 4

Add similar elements:

- 10 x - 10 x - 20 x = - 40 x

= - 40 x + 25 - 25 + 4

Add the numbers:

25 - 25 + 4 = 4

= - 40 x + 4

\frac{6 a ^{4} b ^{3} - 8 a ^{3} b ^{4} - 12 a ^{2} b ^{2}}{2 a ^{2} b}

\frac{3 a ^{2} - 12}{6 a + 12}

\frac{1}{2} \cdot cos^{4} (x) - 4 sin^{2} (x) + \frac{5}{2}

(2 y - 5)^{7}

a^{2} \cdot b + 2 a \cdot b^{2} + b^{3}

What is (x-5)^2-(x+5)^2-4(5x-1) ?
The solution to (x-5)^2-(x+5)^2-4(5x-1) is -40x+4