1. |
A |
= |
B |
Given |

2. |
A |
= |
AB |
Multiply by A (MPE) |

3. |
A |
= |
AB – B |
Subtract B |

4. |
(A + B)(A – B) |
= |
B(A – B) |
Factor both sides |

5. |
A + B |
= |
B |
Cancel common factors |

6. |
B + B |
= |
B |
Substitution (using step 1) |

7. |
2B |
= |
B |
Simplification |

8. |
2 |
= |
1 |
Cancel common factor. |