Show that
You must demonstrate the result starting from given values — the answer is provided, your job is the working.
Definition
"Show that" questions give you both the start and the end. You must produce every step that connects the two. Starting from the answer and working backwards earns zero marks. The whole credit is in the method.
Example
Show that 3 × (2 + 5) = 21. You must write: 3 × (2 + 5) = 3 × 7 = 21. Not just "= 21".
Common confusion
Often mistaken for "Prove". "Show that" wants numerical or algebraic demonstration with given values. "Prove" wants a general argument that works for all cases.
Used in these topics
Related terms
Prove
Demonstrate that a statement is always true, using general (often algebraic) reasoning, not specific numbers.
Hence
Use the previous part of the question to answer this part. You must connect to what you have already found.
Verify
Substitute the given value into the equation and show that it satisfies it.
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