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

The solution to (x^2-5x)^2-5(x^2-5x) is x^4-10x^3+20x^2+25x

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

simplify

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

x^{4} - 10 x^{3} + 20 x^{2} + 25 x

Solution steps

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

Expand

(x^{2} - 5 x)^{2} : x^{4} - 10 x^{3} + 25 x^{2}

= x^{4} - 10 x^{3} + 25 x^{2} - 5 (x^{2} - 5 x)

Expand

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

= x^{4} - 10 x^{3} + 25 x^{2} - 5 x^{2} + 25 x

Add similar elements:

25 x^{2} - 5 x^{2} = 20 x^{2}

= x^{4} - 10 x^{3} + 20 x^{2} + 25 x

2 \cdot 2^{n - 1}

\frac{sin ( 4 x )}{sin ( 6 x )}

lo g_{2} (\frac{512000}{32000})

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

What is (x^2-5x)^2-5(x^2-5x) ?
The solution to (x^2-5x)^2-5(x^2-5x) is x^4-10x^3+20x^2+25x