Question

Multiply: [4(x−6)(x−2)]/(x+10)^2. Enter your answer, in simplest form, in the box.

Answer 1

To multiply the given expression, expand the numerator and then simplify.

Step-by-step explanation:

To multiply the expression [4(x−6)(x−2)]/(x+10)^2, we need to expand the numerator and simplify:

1. Expand (x−6)(x−2) to get x^2 - 8x + 12
2. Multiply 4 by each term in the expanded numerator: 4(x^2 - 8x + 12) = 4x^2 - 32x + 48
3. Multiply the numerator and denominator by (x+10) to eliminate the denominator: [4(x^2 - 8x + 12) * (x+10)]/[1 * (x+10)] = [4x^2 - 32x + 48] / (x+10)

So the simple form of the expression is [4x^2 - 32x + 48] / (x+10).