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Let | ||||

Let a | = | b | ||

Multiply both sides by a | ||||

a^{2} | = | ab | ||

Add a to both sides^{2} | ||||

a^{2} + a^{2} | = | a^{2} + ab | ||

Collect like terms on both sides | ||||

2a^{2} | = | a^{2} + ab | ||

Subtract 2ab from both sides | ||||

2a^{2} - 2ab | = | a^{2} + ab - 2ab | ||

Factor the left side, and collect like terms on the right side. | ||||

2(a^{2} - ab) | = | a^{2} - ab | ||

Divide both sides by (a^{2} - ab) | ||||

2 | = | 1 |