What is expand (x+3)(x+2)(x+1) ?

The solution to expand (x+3)(x+2)(x+1) is x^3+6x^2+11x+6

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expand (x+3)(x+2)(x+1)

expand

(x + 3) (x + 2) (x + 1)

x^{3} + 6 x^{2} + 11 x + 6

Solution steps

(x + 3) (x + 2) (x + 1)

Expand

(x + 3) (x + 2) (x + 1) : (x^{2} + 5 x + 6) (x + 1)

= (x^{2} + 5 x + 6) (x + 1)

Distribute parentheses

= x^{2} x + x^{2} \cdot 1 + 5 xx + 5 x \cdot 1 + 6 x + 6 \cdot 1

Simplify

x^{2} x + x^{2} \cdot 1 + 5 xx + 5 x \cdot 1 + 6 x + 6 \cdot 1 : x^{3} + 6 x^{2} + 11 x + 6

= x^{3} + 6 x^{2} + 11 x + 6

(3 x - 4)^{2}

5 \cdot 1

6 - 6

m + m

(3 x + 8) (x - 2)

What is expand (x+3)(x+2)(x+1) ?
The solution to expand (x+3)(x+2)(x+1) is x^3+6x^2+11x+6