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mylen [45]
3 years ago
7

Write an expression that is equivalent to (23.6-7.1a-4.2b)-(5.8b-9a)

Mathematics
1 answer:
KengaRu [80]3 years ago
8 0
Let's simplify step-by-step.<span><span><span>23.6−<span>7.1a</span></span>−<span>4.2b</span></span>−<span>(<span><span>5.8b</span>−<span>9a</span></span>)</span></span>Distribute the Negative Sign:<span>=<span><span><span>23.6−<span>7.1a</span></span>−<span>4.2b</span></span>+<span><span>−1</span><span>(<span><span>5.8b</span>−<span>9a</span></span>)</span></span></span></span><span>=<span><span><span><span><span><span>23.6+</span>−<span>7.1a</span></span>+</span>−<span>4.2b</span></span>+<span><span>−1</span><span>(<span>5.8b</span>)</span></span></span>+<span><span>−1</span><span>(<span>−<span>9a</span></span>)</span></span></span></span><span>=<span><span><span><span><span><span><span>23.6+</span>−<span>7.1a</span></span>+</span>−<span>4.2b</span></span>+</span>−<span>5.8b</span></span>+<span>9a</span></span></span>Combine Like Terms:<span>=<span><span><span><span>23.6+<span>−<span>7.1a</span></span></span>+<span>−<span>4.2b</span></span></span>+<span>−<span>5.8b</span></span></span>+<span>9a</span></span></span><span>=<span><span><span>(<span><span>−<span>7.1a</span></span>+<span>9a</span></span>)</span>+<span>(<span><span>−<span>4.2b</span></span>+<span>−<span>5.8b</span></span></span>)</span></span>+<span>(23.6)</span></span></span><span>=<span><span><span>1.9a</span>+<span>−<span>10b</span></span></span>+<span>23.6</span></span></span>
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