What is expand (x+1)^2*(32-x) ?

The solution to expand (x+1)^2*(32-x) is -x^3+30x^2+63x+32

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expand (x+1)^2*(32-x)

expand

(x + 1)^{2} \cdot (32 - x)

- x^{3} + 30 x^{2} + 63 x + 32

Solution steps

(x + 1)^{2} (32 - x)

Expand

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

= (x^{2} + 2 x + 1) (32 - x)

Distribute parentheses

= x^{2} \cdot 32 + x^{2} (- x) + 2 x \cdot 32 + 2 x (- x) + 1 \cdot 32 + 1 \cdot (- x)

Simplify

x^{2} \cdot 32 + x^{2} (- x) + 2 x \cdot 32 + 2 x (- x) + 1 \cdot 32 + 1 \cdot (- x) : - x^{3} + 30 x^{2} + 63 x + 32

= - x^{3} + 30 x^{2} + 63 x + 32

lo g_{10} ((x + y)^{3}) (x - z)

2 i^{77} - i^{726}

(x^{2} + 4) (x^{2} + 4)

3 (6 x - 4)^{2} - 2 (6 x - 4) - 10

1^{2} + (3)^{2}

What is expand (x+1)^2*(32-x) ?
The solution to expand (x+1)^2*(32-x) is -x^3+30x^2+63x+32