## Exam-Style Questions on Algebra Proof## Problems on Algebra Proof adapted from questions set in previous exams. |

## 1. | GCSE Higher |

One is added to the product of two consecutive positive even numbers. Show that the result is a square number.

## 2. | GCSE Higher |

Betsy thinks that \((3x)^2\) is always greater than or equal to \(3x\).

Is she is correct?

Show your working to justify your decision

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