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kakasveta [241]

3 years ago

15

If A=3x2+5x-6and B=-2x2-6x+7then A-B equals

1 answer:

Lesechka [4]3 years ago

6 0

Let's simplify step-by-step.<span><span><span><span>3<span>x^2</span></span>+<span>5x</span></span>−6</span>−<span>(<span><span><span>−<span>2<span>x^2</span></span></span>−<span>6x</span></span>+7</span>)</span></span>Distribute the Negative Sign:<span>=<span><span><span><span>3<span>x^2</span></span>+<span>5x</span></span>−6</span>+<span><span>−1</span><span>(<span><span><span>−<span>2<span>x^2</span></span></span>−<span>6x</span></span>+7</span>)</span></span></span></span><span>=<span><span><span><span><span><span><span>3<span>x^2</span></span>+<span>5x</span></span>+</span>−6</span>+<span><span>−1</span><span>(<span>−<span>2<span>x^2</span></span></span>)</span></span></span>+<span><span>−1</span><span>(<span>−<span>6x</span></span>)</span></span></span>+<span><span>(<span>−1</span>)</span><span>(7)</span></span></span></span><span>=<span><span><span><span><span><span><span><span>3<span>x^2</span></span>+<span>5x</span></span>+</span>−6</span>+<span>2<span>x^2</span></span></span>+<span>6x</span></span>+</span>−7</span></span>Combine Like Terms:<span>=<span><span><span><span><span><span>3<span>x^2</span></span>+<span>5x</span></span>+<span>−6</span></span>+<span>2<span>x^2</span></span></span>+<span>6x</span></span>+<span>−7</span></span></span><span>=<span><span><span>(<span><span>3<span>x^2</span></span>+<span>2<span>x^2</span></span></span>)</span>+<span>(<span><span>5x</span>+<span>6x</span></span>)</span></span>+<span>(<span><span>−6</span>+<span>−7</span></span>)</span></span></span><span>=<span><span><span>5<span>x^2</span></span>+<span>11x</span></span>+<span>−13</span></span></span>Answer:<span>=<span><span><span>5<span>x^2</span></span>+<span>11x</span></span>−<span>13</span></span></span>

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