What is (a+3)(a+1)-4(a+1) ?

The solution to (a+3)(a+1)-4(a+1) is a^2-1

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simplify (a+3)(a+1)-4(a+1)

simplify

(a + 3) (a + 1) - 4 (a + 1)

a^{2} - 1

Solution steps

(a + 3) (a + 1) - 4 (a + 1)

Expand

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

= a^{2} + 4 a + 3 - 4 (a + 1)

Expand

- 4 (a + 1) : - 4 a - 4

= a^{2} + 4 a + 3 - 4 a - 4

Group like terms

= a^{2} + 4 a - 4 a + 3 - 4

Add similar elements:

4 a - 4 a = 0

= a^{2} + 3 - 4

Subtract the numbers:

3 - 4 = - 1

= a^{2} - 1

3. 3^{2}

3 x - x^{3}

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

(- 3 sin (t))^{2}

\frac{56 \cdot 15}{35 \cdot 42}