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

The solution to expand 2(x+5)(x^2-2x+1) is 2x^3+6x^2-18x+10

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

expand

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

2 x^{3} + 6 x^{2} - 18 x + 10

Solution steps

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

Expand

2 (x + 5) : 2 x + 10

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

Distribute parentheses

= 2 x x^{2} + 2 x (- 2 x) + 2 x \cdot 1 + 10 x^{2} + 10 (- 2 x) + 10 \cdot 1

Simplify

2 x x^{2} + 2 x (- 2 x) + 2 x \cdot 1 + 10 x^{2} + 10 (- 2 x) + 10 \cdot 1 : 2 x^{3} + 6 x^{2} - 18 x + 10

= 2 x^{3} + 6 x^{2} - 18 x + 10

\frac{18 x ^{2} - 10 y ^{2} \cdot 4 x ^{4} y ^{5}}{x y}

(2 x - y + z)^{3}

\frac{( x ^{2} + 2 x y + y ^{2} - 9 c ^{2} )}{( x + y - 3 c )}

\frac{( 2 x ^{2} )}{sin ( x )}

\frac{( - \frac{3}{8} ) \cdot ( - 3 ) x - 2}{7}

What is expand 2(x+5)(x^2-2x+1) ?
The solution to expand 2(x+5)(x^2-2x+1) is 2x^3+6x^2-18x+10