Question

(х-2)(х-6)(х+1)(х+5)

Answer 1

Х^4-2^3-31x^2+32x+60

Answer 2

To simplify the given expression, you can expand it using the FOIL method (First, Outer, Inner, Last). Here's the step-by-step expansion:

(х - 2)(х - 6)(х + 1)(х + 5)

Step 1: Multiply the first two factors using the FOIL method: (х - 2)(х - 6) = х^2 - 6х - 2х + 12 = х^2 - 8х + 12

Step 2: Multiply the result from Step 1 with the third factor: (х^2 - 8х + 12)(х + 1) = х^3 - 8х^2 + 12х + х^2 - 8х + 12 = х^3 - 7х^2 + 4х + 12

Step 3: Multiply the result from Step 2 with the fourth factor: (х^3 - 7х^2 + 4х + 12)(х + 5) = х^4 - 7х^3 + 4х^2 + 12х + 5х^3 - 35х^2 + 20х + 60 = х^4 - 2х^3 - 31х^2 + 32х + 60

So, the simplified form of the expression (х - 2)(х - 6)(х + 1)(х + 5) is х^4 - 2х^3 - 31х^2 + 32х + 60.