What is expand (x-1)(x-5)(x-15)50 ?

The solution to expand (x-1)(x-5)(x-15)50 is 50x^3-1050x^2+4750x-3750

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expand (x-1)(x-5)(x-15)50

expand

(x - 1) (x - 5) (x - 15) 50

50 x^{3} - 1050 x^{2} + 4750 x - 3750

Solution steps

(x - 1) (x - 5) (x - 15) \cdot 50

= 50 (x - 1) (x - 5) (x - 15)

Apply FOIL method

(x - 1) (x - 5) : x^{2} - 6 x + 5

= 50 (x^{2} - 6 x + 5) (x - 15)

Expand

50 (x - 15) : 50 x - 750

= (50 x - 750) (x^{2} - 6 x + 5)

Distribute parentheses

= 50 x x^{2} + 50 x (- 6 x) + 50 x \cdot 5 - 750 x^{2} - 750 (- 6 x) - 750 \cdot 5

Simplify

50 x x^{2} + 50 x (- 6 x) + 50 x \cdot 5 - 750 x^{2} - 750 (- 6 x) - 750 \cdot 5 : 50 x^{3} - 1050 x^{2} + 4750 x - 3750

= 50 x^{3} - 1050 x^{2} + 4750 x - 3750

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

(1 0^{x})^{y}

\frac{( x - 1 ) ( x + 1 )}{x ( x - 1 )}

12 a^{2} - 10 a

\frac{( x ^{2} - 1 )}{( x ^{2} + 1 )}

What is expand (x-1)(x-5)(x-15)50 ?
The solution to expand (x-1)(x-5)(x-15)50 is 50x^3-1050x^2+4750x-3750