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>
Since the truck is 8 feet long then the longest log able to fit in the truck should be 8 feet as well. However talking reality, we might want to shorten it to make it fit better. Hope this helps!
