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Using the diagram, rewrite 𝑑 minus two 𝑒 plus 𝑓 without the brackets.
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In the first diagram, they took the whole length 𝑑 and then subtracted 𝑒 plus 𝑓 twice, so minus two times 𝑒 plus 𝑓.
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That means we’ll do the same thing.
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We’ll start with 𝑑 and subtract 𝑒 and then subtract 𝑒 again and subtract 𝑓 and then subtract 𝑓 again.
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Now our goal is to write this without brackets.
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We’ve done that, 𝑑 minus 𝑒 minus 𝑒 minus 𝑓 minus 𝑓.
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However, we can simplify a little bit without using brackets.
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𝑒 minus 𝑒 could be rewritten as minus two 𝑒.
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The same thing for 𝑓 minus 𝑓.
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We can rewrite that as minus two 𝑓.
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Bring down the 𝑑.
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And we have 𝑑 minus two 𝑒 minus two 𝑓.
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We started with 𝑑 minus two times 𝑒 plus 𝑓.
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And in this form, we distribute the negative two to the 𝑒 and the 𝑓, 𝑑 minus two 𝑒 minus two 𝑓.