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

The solution to expand (x+5)(x+1)(x-2) is x^3+4x^2-7x-10

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

expand

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

x^{3} + 4 x^{2} - 7 x - 10

Solution steps

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

Expand

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

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

Distribute parentheses

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

Simplify

x^{2} x + x^{2} (- 2) + 6 xx + 6 x (- 2) + 5 x + 5 (- 2) : x^{3} + 4 x^{2} - 7 x - 10

= x^{3} + 4 x^{2} - 7 x - 10

(4 x y^{2})^{3}

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

48 \times 2

233

\frac{21 m n ^{3} x ^{6}}{28 m ^{4} n ^{2} x ^{2}}

What is expand (x+5)(x+1)(x-2) ?
The solution to expand (x+5)(x+1)(x-2) is x^3+4x^2-7x-10