Subtract and simplify: (11x2 + 7) – (6x2 + 3x – 3)
1 answer:
Let's simplify step-by-step.
<span><span><span>11<span>x2</span></span>+7</span>−<span>(<span><span><span>6<span>x2</span></span>+<span>3x</span></span>−3</span>)</span></span>
Distribute the Negative Sign:<span>
=<span><span><span>11<span>x2</span></span>+7</span>+<span><span>−1</span><span>(<span><span><span>6<span>x2</span></span>+<span>3x</span></span>−3</span>)</span></span></span></span><span>=<span><span><span><span><span>11<span>x2</span></span>+7</span>+<span><span>−1</span><span>(<span>6<span>x2</span></span>)</span></span></span>+<span><span>−1</span><span>(<span>3x</span>)</span></span></span>+<span><span>(<span>−1</span>)</span><span>(<span>−3</span>)</span></span></span></span><span>=<span><span><span><span><span><span><span>11<span>x2</span></span>+7</span>+</span>−<span>6<span>x2</span></span></span>+</span>−<span>3x</span></span>+3</span></span>
Combine Like Terms:<span>
=<span><span><span><span><span>11<span>x2</span></span>+7</span>+<span>−<span>6<span>x2</span></span></span></span>+<span>−<span>3x</span></span></span>+3</span></span><span>=<span><span><span>(<span><span>11<span>x2</span></span>+<span>−<span>6<span>x2</span></span></span></span>)</span>+<span>(<span>−<span>3x</span></span>)</span></span>+<span>(<span>7+3</span>)</span></span></span><span>=<span><span><span>5<span>x2</span></span>+<span>−<span>3x</span></span></span>+10</span></span>
Answer:<span>B
=<span><span><span>5<span>x2</span></span>−<span>3x</span></span>+<span>10</span></span></span>
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