Android Studio Failed to resolve: support-core-utils

I solved this by setting google() as first entry in allprojects/repositories in top level build.gradle

allprojects {
    repositories {
        google()
        jcenter()
        maven { url "https://jitpack.io"
        }
    }
}

as per behavior changes in android-Gradle plugin (v3.2.0 September 2018) you need to keep the google repository as the first entry

buildscript {
      repositories {
          google() // here
          jcenter()
      }
      dependencies {
          classpath 'com.android.tools.build:gradle:3.2.0'
      }
  }
  allprojects {
      repositories {
          google() // and here
          jcenter()
  }

android-Gradle plugin release note