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NeTakaya
3 years ago
14

Subtract and simplify: (3x^2 + 7) – (x^2 – 6x – 4)

Mathematics
1 answer:
MrRa [10]3 years ago
8 0
Distribute the Negative Sign:<span>=<span><span><span>3<span>x2</span></span>+7</span>+<span><span>−1</span><span>(<span><span><span>x2</span>−<span>6x</span></span>−4</span>)</span></span></span></span><span>=<span><span><span><span><span>3<span>x2</span></span>+7</span>+<span><span>−1</span><span>x2</span></span></span>+<span><span>−1</span><span>(<span>−<span>6x</span></span>)</span></span></span>+<span><span>(<span>−1</span>)</span><span>(<span>−4</span>)</span></span></span></span><span>=<span><span><span><span><span><span>3<span>x2</span></span>+7</span>+</span>−<span>x2</span></span>+<span>6x</span></span>+4</span></span>Combine Like Terms:<span>=<span><span><span><span><span>3<span>x2</span></span>+7</span>+<span>−<span>x2</span></span></span>+<span>6x</span></span>+4</span></span><span>=<span><span><span>(<span><span>3<span>x2</span></span>+<span>−<span>x2</span></span></span>)</span>+<span>(<span>6x</span>)</span></span>+<span>(<span>7+4</span>)
Answer is </span></span></span><span>=<span><span><span>2<span>x2</span></span>+<span>6x</span></span>+<span>11</span></span></span>
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