What is (x+10)(x^2-10x+100)-(x+5)(x^2-5x+25) ?

The solution to (x+10)(x^2-10x+100)-(x+5)(x^2-5x+25) is 875

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simplify (x+10)(x^2-10x+100)-(x+5)(x^2-5x+25)

simplify

(x + 10) (x^{2} - 10 x + 100) - (x + 5) (x^{2} - 5 x + 25)

875

Solution steps

(x + 10) (x^{2} - 10 x + 100) - (x + 5) (x^{2} - 5 x + 25)

Expand

(x + 10) (x^{2} - 10 x + 100) : x^{3} + 1000

= x^{3} + 1000 - (x + 5) (x^{2} - 5 x + 25)

Expand

- (x + 5) (x^{2} - 5 x + 25) : - x^{3} - 125

= x^{3} + 1000 - x^{3} - 125

Group like terms

= x^{3} - x^{3} + 1000 - 125

Add similar elements:

x^{3} - x^{3} = 0

= 1000 - 125

Subtract the numbers:

1000 - 125 = 875

= 875

- sin^{2} (x) + cos^{2} (x)

\frac{1}{csc ( x )}

(\frac{1}{4})^{- 5 l o g_{2} (3)}

(\frac{1}{3} a^{2 m})^{3} \cdot (9 a^{2})^{2}

What is (x+10)(x^2-10x+100)-(x+5)(x^2-5x+25) ?
The solution to (x+10)(x^2-10x+100)-(x+5)(x^2-5x+25) is 875