(x-2)(x+2)
(x-2)(x+2) expands to x^2+2x-2x-4, which simplifies to x^2-4.
To expand the expression (x-2)(x+2), you can use the distributive property. This means that you will multiply each term in the first expression with each term in the second expression.
Let's begin:
(x-2)(x+2)
= x(x+2) - 2(x+2)
= x(x) + x(2) - 2(x) - 2(2)
= x^2 + 2x - 2x - 4
= x^2 - 4
So, the expanded expression of (x-2)(x+2) is x^2 - 4.
To expand the expression (x - 2)(x + 2), you can use the distributive property.
Step 1: Multiply the first terms of each binomial
(x * x) = x^2
Step 2: Multiply the outer terms of each binomial
(x * 2) = 2x
Step 3: Multiply the inner terms of each binomial
(-2 * x) = -2x
Step 4: Multiply the last terms of each binomial
(-2 * 2) = -4
Step 5: Simplify the expression by combining the like terms
x^2 + 2x - 2x - 4
Step 6: Combine the like terms (2x and -2x)
x^2 - 4
So, (x - 2)(x + 2) expands to x^2 - 4.