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

The solution to expand x(5x+2)(x+1)^2 is 5x^4+12x^3+9x^2+2x

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

expand

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

5 x^{4} + 12 x^{3} + 9 x^{2} + 2 x

Solution steps

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

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

Expand

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

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

Expand

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

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

Distribute parentheses

= 5 x^{2} x^{2} + 5 x^{2} \cdot 2 x + 5 x^{2} \cdot 1 + 2 x x^{2} + 2 x \cdot 2 x + 2 x \cdot 1

Simplify

5 x^{2} x^{2} + 5 x^{2} \cdot 2 x + 5 x^{2} \cdot 1 + 2 x x^{2} + 2 x \cdot 2 x + 2 x \cdot 1 : 5 x^{4} + 12 x^{3} + 9 x^{2} + 2 x

= 5 x^{4} + 12 x^{3} + 9 x^{2} + 2 x

1 - \frac{1}{3 x ^{\frac{2}{3}}}

lo g_{10} (1)

- 4 a^{2}

x \to \infty lim (1^{x})

\frac{5}{8} \times 4

What is expand x(5x+2)(x+1)^2 ?
The solution to expand x(5x+2)(x+1)^2 is 5x^4+12x^3+9x^2+2x