expand (x+1)*(x-1) — step-by-step solution

Let's write in expanded form:

(x + 1) \cdot (x - 1)

ⓘ Expand by multiplying each term inside the parentheses:

(x + 1) \cdot (x - 1)

x \cdot x

+ x \cdot (-1)

+ 1 \cdot x

+ 1 \cdot (-1)

x \cdot x

+ x \cdot (-1)

+ 1 \cdot x

+ 1 \cdot (-1)

ⓘ Multiplying powers with the same base adds the exponents:

x \cdot x

x^{2}

■Multiplying by -1 gives the opposite:

x \cdot (-1)

- x

x^{2}

- x

+ x

- 1

ⓘ Like terms are grouped by adding their coefficients:

- x + x

0

x^{2} + 0 - 1

ⓘ Adding 0 changes nothing:

0 - 1

-1

▶Expanded form:

x^{2} - 1