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+6x^3+3x^2-26x-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} + 6 x^{3} + 3 x^{2} - 26 x - 24

Solution steps

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

Expand

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

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

Apply FOIL method

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

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

Distribute parentheses

= x^{2} x^{2} + x^{2} \cdot 7 x + x^{2} \cdot 12 - x x^{2} - x \cdot 7 x - 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 - x x^{2} - x \cdot 7 x - x \cdot 12 - 2 x^{2} - 2 \cdot 7 x - 2 \cdot 12 : x^{4} + 6 x^{3} + 3 x^{2} - 26 x - 24

= x^{4} + 6 x^{3} + 3 x^{2} - 26 x - 24

\frac{( a ^{\frac{5}{3}} )}{y ^{4} x ^{2}}

x^{2} + 4 x = 6

(k^{\frac{3}{2}})^{\frac{1}{2}}

\frac{a}{6} = 5

- 5 \cdot 2

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+6x^3+3x^2-26x-24