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

The solution to expand (x+1)(x+2)(x+5) is x^3+8x^2+17x+10

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

expand

(x + 1) (x + 2) (x + 5)

x^{3} + 8 x^{2} + 17 x + 10

Solution steps

(x + 1) (x + 2) (x + 5)

Expand

(x + 1) (x + 2) (x + 5) : (x^{2} + 3 x + 2) (x + 5)

= (x^{2} + 3 x + 2) (x + 5)

Distribute parentheses

= x^{2} x + x^{2} \cdot 5 + 3 xx + 3 x \cdot 5 + 2 x + 2 \cdot 5

Simplify

x^{2} x + x^{2} \cdot 5 + 3 xx + 3 x \cdot 5 + 2 x + 2 \cdot 5 : x^{3} + 8 x^{2} + 17 x + 10

= x^{3} + 8 x^{2} + 17 x + 10

\frac{2 x - 1}{6} + \frac{x + 3}{12}

8^{2} - 3^{2}

\frac{a}{ab - b ^{2}} - \frac{1}{b}

3 + (- \frac{1}{2})

(2 x^{4} - 3 x^{3} + 1) (x + 3)

What is expand (x+1)(x+2)(x+5) ?
The solution to expand (x+1)(x+2)(x+5) is x^3+8x^2+17x+10