What is expand (x+1)(x+2)(x+3)(x+4) ?

The solution to expand (x+1)(x+2)(x+3)(x+4) is x^4+10x^3+35x^2+50x+24

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expand (x+1)(x+2)(x+3)(x+4)

expand

(x + 1) (x + 2) (x + 3) (x + 4)

x^{4} + 10 x^{3} + 35 x^{2} + 50 x + 24

Solution steps

(x + 1) (x + 2) (x + 3) (x + 4)

Expand

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

= (x^{2} + 3 x + 2) (x + 3) (x + 4)

Apply FOIL method

(x + 3) (x + 4) : x^{2} + 7 x + 12

= (x^{2} + 3 x + 2) (x^{2} + 7 x + 12)

Distribute parentheses

= x^{2} x^{2} + x^{2} \cdot 7 x + x^{2} \cdot 12 + 3 x x^{2} + 3 x \cdot 7 x + 3 x \cdot 12 + 2 x^{2} + 2 \cdot 7 x + 2 \cdot 12

Simplify

x^{2} x^{2} + x^{2} \cdot 7 x + x^{2} \cdot 12 + 3 x x^{2} + 3 x \cdot 7 x + 3 x \cdot 12 + 2 x^{2} + 2 \cdot 7 x + 2 \cdot 12 : x^{4} + 10 x^{3} + 35 x^{2} + 50 x + 24

= x^{4} + 10 x^{3} + 35 x^{2} + 50 x + 24

\frac{1}{6} \div \frac{2}{3}

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

5 - (- 9)

\frac{24}{56}

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

What is expand (x+1)(x+2)(x+3)(x+4) ?
The solution to expand (x+1)(x+2)(x+3)(x+4) is x^4+10x^3+35x^2+50x+24