What is expand (a+1)(a-1)(a+2)(a-2) ?

The solution to expand (a+1)(a-1)(a+2)(a-2) is a^4-5a^2+4

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expand (a+1)(a-1)(a+2)(a-2)

expand

(a + 1) (a - 1) (a + 2) (a - 2)

a^{4} - 5 a^{2} + 4

Solution steps

(a + 1) (a - 1) (a + 2) (a - 2)

Expand

(a + 1) (a - 1) (a + 2) (a - 2) : (a^{2} - 1) (a + 2) (a - 2)

= (a^{2} - 1) (a + 2) (a - 2)

Apply Difference of Two Squares

(a + 2) (a - 2) : a^{2} - 4

= (a^{2} - 1) (a^{2} - 4)

Apply FOIL method

(a^{2} - 1) (a^{2} - 4) : a^{4} - 5 a^{2} + 4

= a^{4} - 5 a^{2} + 4

\frac{- 3 - - 25}{- 1 - - 49}

i \cdot 1

\frac{3}{x + 2} - \frac{2 x}{x ^{2} - 4}

sin (x) \times (- sin (x))

\frac{3}{12} + \frac{7}{8} \frac{( \frac{3}{4} + \frac{2}{3} )}{( - \frac{1}{2} ) ^{3}}

What is expand (a+1)(a-1)(a+2)(a-2) ?
The solution to expand (a+1)(a-1)(a+2)(a-2) is a^4-5a^2+4